Saitama (Japan) and Yokkaichi (Japan) are 295 km (183 mi) apart in a straight line. The way we suggest is by train, via Tokyo, Shizuoka and Nagoya: about 3h 35m door to door with 3 changes, for ~€24–95 per person. No flight is needed.
Step by step
Train from Saitama to Tokyo: about 25m, 24 km, ~€1–7
Train from Tokyo to Shizuoka: about 1h, 142 km, ~€10–40
Train from Shizuoka to Nagoya: about 50m, 136 km, ~€9–40
Train from Nagoya to Yokkaichi: about 35m, 35 km, ~€2–10
Every route we know
Train, via Tokyo, Shizuoka and Nagoya: about 3h 35m, 3 changes, ~€24–95
Bus, via Kyoto: about 10h 30m, 1 change, ~€30–70
Train + Bus, via Tokyo and Kyoto: about 5h, 2 changes, ~€37–125
Train, via Tokyo and Osaka: about 5h, 2 changes, ~€40–145
Questions
How long does it take to get from Saitama to Yokkaichi?
About 3h 35m door to door by train, via Tokyo, Shizuoka and Nagoya, including time for changes.
How much does it cost to travel from Saitama to Yokkaichi?
~€24–95 per person for the route we suggest. These are estimates from travel-guide prices and published tariffs, not quotes: check the operator for today's fare.
Is there a direct train from Saitama to Yokkaichi?
Not that we know of: the routes in our data change via Tokyo, Shizuoka and Nagoya.
Times are rough door-to-door times, with time to change included. We don't have timetables, and fares are rough estimates, not quotes: check Google Maps or the operator before you travel.