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Finding the Fourth Proportional to 465,732.80, 642,780.92 and 284,549.48

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Solution

The fourth proportional to 465,732.80, 642,780.92 and 284,549.48 is: 392,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,732.80 : 642,780.92 = 284,549.48 : x
  2. Step 2: Convert to fraction form
    465,732.80/642,780.92 = 284,549.48/x
  3. Step 3: Cross multiply
    465,732.80x = 642,780.92 × 284,549.48
  4. Step 4: Simplify right side
    465,732.80x = 182,902,976,539.92
  5. Step 5: Solve for x
    x = 182,902,976,539.92/465,732.80
  6. Step 6: Final answer
    x = 392,720.84

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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.