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Finding the Fourth Proportional to 465,432.76, 642,366.66 and 284,248.90

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Solution

The fourth proportional to 465,432.76, 642,366.66 and 284,248.90 is: 392,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,432.76 : 642,366.66 = 284,248.90 : x
  2. Step 2: Convert to fraction form
    465,432.76/642,366.66 = 284,248.90/x
  3. Step 3: Cross multiply
    465,432.76x = 642,366.66 × 284,248.90
  4. Step 4: Simplify right side
    465,432.76x = 182,592,016,501.67
  5. Step 5: Solve for x
    x = 182,592,016,501.67/465,432.76
  6. Step 6: Final answer
    x = 392,305.90

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1.5x scale

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.