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Finding the Fourth Proportional to 381,757.70, 572,541.92 and 129,032.57

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Solution

The fourth proportional to 381,757.70, 572,541.92 and 129,032.57 is: 193,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,757.70 : 572,541.92 = 129,032.57 : x
  2. Step 2: Convert to fraction form
    381,757.70/572,541.92 = 129,032.57/x
  3. Step 3: Cross multiply
    381,757.70x = 572,541.92 × 129,032.57
  4. Step 4: Simplify right side
    381,757.70x = 73,876,551,862.46
  5. Step 5: Solve for x
    x = 73,876,551,862.46/381,757.70
  6. Step 6: Final answer
    x = 193,516.86

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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.