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Finding the Fourth Proportional to 458,476.96, 687,248.88 and 424,534.72

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Solution

The fourth proportional to 458,476.96, 687,248.88 and 424,534.72 is: 636,370.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,476.96 : 687,248.88 = 424,534.72 : x
  2. Step 2: Convert to fraction form
    458,476.96/687,248.88 = 424,534.72/x
  3. Step 3: Cross multiply
    458,476.96x = 687,248.88 × 424,534.72
  4. Step 4: Simplify right side
    458,476.96x = 291,761,010,841.11
  5. Step 5: Solve for x
    x = 291,761,010,841.11/458,476.96
  6. Step 6: Final answer
    x = 636,370.06

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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.