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Finding the Fourth Proportional to 418,458.42, 627,542.19 and 178,562.61

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Solution

The fourth proportional to 418,458.42, 627,542.19 and 178,562.61 is: 267,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,458.42 : 627,542.19 = 178,562.61 : x
  2. Step 2: Convert to fraction form
    418,458.42/627,542.19 = 178,562.61/x
  3. Step 3: Cross multiply
    418,458.42x = 627,542.19 × 178,562.61
  4. Step 4: Simplify right side
    418,458.42x = 112,055,571,331.52
  5. Step 5: Solve for x
    x = 112,055,571,331.52/418,458.42
  6. Step 6: Final answer
    x = 267,781.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.