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Finding the Fourth Proportional to 258,463.38, 386,721.24 and 232,241.28

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Solution

The fourth proportional to 258,463.38, 386,721.24 and 232,241.28 is: 347,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,463.38 : 386,721.24 = 232,241.28 : x
  2. Step 2: Convert to fraction form
    258,463.38/386,721.24 = 232,241.28/x
  3. Step 3: Cross multiply
    258,463.38x = 386,721.24 × 232,241.28
  4. Step 4: Simplify right side
    258,463.38x = 89,812,635,780.79
  5. Step 5: Solve for x
    x = 89,812,635,780.79/258,463.38
  6. Step 6: Final answer
    x = 347,486.89

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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.