Not only Binance, but now also Coinbase will support the hard fork. So it might increase further, but i don't think it will come even close to Ripple and Ethereum because they are just so incredibly popular and revolutionary, sitting on over 18 billion dollar. In the current bearish market, that is a whole, whole lot to catch up to since BCH is only on half of the market cap of Ripple.
And considering the technology superiority, it might never catch up on Ripple and Ethereum at all. But on the long term, if Bitcoin ever gets outdated while BCH is more practical, it could drop a few places and that means also below BCH.