Map quest shows 4:31 to Yakima via 12, 4:22 to Ellensburg via 5, 18 and 90.
But with a departure time in the afternoon, traffic thru Oly, Tacoma, and Auburn could be challenging. Especially the mess around JBLM these days.
I'd probably do the 12 route, more scenic, a lot less traffic. But then, I hate traffic in urban Puget Sound region...
And Yakima to I-90 at Ellensburg adds about another 30 minutes or so.
Have a great safe trip...