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Finding the Fourth Proportional to 381,572.56, 572,358.30 and 132,254.56

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Solution

The fourth proportional to 381,572.56, 572,358.30 and 132,254.56 is: 198,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,572.56 : 572,358.30 = 132,254.56 : x
  2. Step 2: Convert to fraction form
    381,572.56/572,358.30 = 132,254.56/x
  3. Step 3: Cross multiply
    381,572.56x = 572,358.30 × 132,254.56
  4. Step 4: Simplify right side
    381,572.56x = 75,696,995,128.85
  5. Step 5: Solve for x
    x = 75,696,995,128.85/381,572.56
  6. Step 6: Final answer
    x = 198,381.65

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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.