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Finding the Fourth Proportional to 310,953.38, 466,432.68 and 86,331.33

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Solution

The fourth proportional to 310,953.38, 466,432.68 and 86,331.33 is: 129,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,953.38 : 466,432.68 = 86,331.33 : x
  2. Step 2: Convert to fraction form
    310,953.38/466,432.68 = 86,331.33/x
  3. Step 3: Cross multiply
    310,953.38x = 466,432.68 × 86,331.33
  4. Step 4: Simplify right side
    310,953.38x = 40,267,753,943.61
  5. Step 5: Solve for x
    x = 40,267,753,943.61/310,953.38
  6. Step 6: Final answer
    x = 129,497.72

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1.5x scale

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.