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Finding the Fourth Proportional to 381,870.52, 572,586.27 and 157,385.90

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Solution

The fourth proportional to 381,870.52, 572,586.27 and 157,385.90 is: 235,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,870.52 : 572,586.27 = 157,385.90 : x
  2. Step 2: Convert to fraction form
    381,870.52/572,586.27 = 157,385.90/x
  3. Step 3: Cross multiply
    381,870.52x = 572,586.27 × 157,385.90
  4. Step 4: Simplify right side
    381,870.52x = 90,117,006,272.86
  5. Step 5: Solve for x
    x = 90,117,006,272.86/381,870.52
  6. Step 6: Final answer
    x = 235,988.38

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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.