With ProRes, the bit rate (or data rate) is determined primarily by ProRes codec type (Proxy, LT HQ, etc.), encoded frame size (1920-by-1080, 1280-by-720, etc.), and frame rate (23.976, 29,97, etc.).
So, there's no option with ProRes to set or dial in the bit rate like there is with H264.
The following chart is from the ProRes White Paper that Vishu linked to:
1920-by-1080 Apple ProRes 422 HQ at 29.97fps comes in at 220 Mbits/second. As this is hard-wired, it's what you'll get from Premiere Pro, After Effects, Final Cut Pro, Resolve, Compressor, Media Encoder, etc.