RGB CMYK values not showing properly

sydney080909  wrote ..... I know I have the right numbers.....

Why do you say that? From where did you get the numbers and were they given to you in the context of specific RGB and CMYK colour spaces? If they were , have you used the numbers in those same colour spaces?

For example RGB 0,255,0 is green. But what specific colour of green?  It could be anything.
However 0,255,0 in sRGB colour space is a specific colour. 0,255,0 in Adobe RGB is another specific colour but different to the previous one. 0,255,0 in ProPhoto is yet another specific colour and again different to the other two.

Once you know which colour you are talking about, by having both the values and the colour space, then you can look at displaying it correctly. To do this Photoshop uses colour management. This uses the pixel values and colour space in your document along with a colour profile of your monitor to display colours correctly. That of course relies on the document having the correct colour space profile and the monitor profile in your operating system accurately describing your monitor. That is why we use hardware devices to calibrate and profile our monitors.
If you display the document in an application that does not use colour management then it will display incorrectly. How incorrect depends on both the display and the profile used in the document. Phones are the worst case. They are not colour managed yet they use displays which have wide gamuts (i.e can display a wide range of colour). A recipe for incorrect colour.

Dave

Everybody who expects RGB and CMYK conversions to have matching colours to some list they have found or been given finds this. Colour management doesn’t work that way.

And yet another thing:

When setting a color in an RGB image with CMYK values in the Color Picker the Color will usually not maintain those CMYK values because they get »re-separated« according to the CMYK (Working) Space’s specifics.

Numbers are color space specific.

The same color will have different numbers in sRGB vs Adobe RGB.

The same numbers will yield different colors in sRGB vs Adobe RGB.

And so on.

Some Image Viewers are color managed and some users calibrate their displays.  Phone app as far as I known are not color manages and I do not believe Phone displays are calibrated. When your display is calibrated and you are using an image viewer that is color managed and are viewing an image file with and embedded color profile  the image on that display colors should be correct.  If this is not the what you are using  the image colors  most likely will not be correct.