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Finding the Fourth Proportional to 401,816, 554,532 and 222,968

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Solution

The fourth proportional to 401,816, 554,532 and 222,968 is: 307,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,816 : 554,532 = 222,968 : x
  2. Step 2: Convert to fraction form
    401,816/554,532 = 222,968/x
  3. Step 3: Cross multiply
    401,816x = 554,532 × 222,968
  4. Step 4: Simplify right side
    401,816x = 123,642,890,976
  5. Step 5: Solve for x
    x = 123,642,890,976/401,816
  6. Step 6: Final answer
    x = 307,710.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.