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Finding the Fourth Proportional to 542,398.56, 748,355.28 and 312,937.68

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Solution

The fourth proportional to 542,398.56, 748,355.28 and 312,937.68 is: 431,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,398.56 : 748,355.28 = 312,937.68 : x
  2. Step 2: Convert to fraction form
    542,398.56/748,355.28 = 312,937.68/x
  3. Step 3: Cross multiply
    542,398.56x = 748,355.28 × 312,937.68
  4. Step 4: Simplify right side
    542,398.56x = 234,188,565,138.95
  5. Step 5: Solve for x
    x = 234,188,565,138.95/542,398.56
  6. Step 6: Final answer
    x = 431,764.73

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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.