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Finding the Fourth Proportional to 381,695.20, 572,542.80 and 312,575.20

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Solution

The fourth proportional to 381,695.20, 572,542.80 and 312,575.20 is: 468,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,695.20 : 572,542.80 = 312,575.20 : x
  2. Step 2: Convert to fraction form
    381,695.20/572,542.80 = 312,575.20/x
  3. Step 3: Cross multiply
    381,695.20x = 572,542.80 × 312,575.20
  4. Step 4: Simplify right side
    381,695.20x = 178,962,680,218.56
  5. Step 5: Solve for x
    x = 178,962,680,218.56/381,695.20
  6. Step 6: Final answer
    x = 468,862.80

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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.