Post does not provides enough information.
What are the configurations of each one of the three servers? are these server dedicated to this "one table" database?
How are you load balancing?
Something is also off with number of transactions.
100 Million rows apiece is not that big, actually a 300 million rows table is nothing unusual in a DSS environment.
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Pablo (Paul) Berzukov
Author of Understanding Database Administration available at Amazon and other bookstores.
Disclaimer: Advice is provided to the best of my knowledge but no implicit or explicit warranties are provided. Since the advisor explicitly encourages testing any and all suggestions on a test non-production environment advisor should not held liable or responsible for any actions taken based on the given advice.