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Finding the Fourth Proportional to 381,871.52, 572,587.77 and 157,386.90

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Solution

The fourth proportional to 381,871.52, 572,587.77 and 157,386.90 is: 235,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,871.52 : 572,587.77 = 157,386.90 : x
  2. Step 2: Convert to fraction form
    381,871.52/572,587.77 = 157,386.90/x
  3. Step 3: Cross multiply
    381,871.52x = 572,587.77 × 157,386.90
  4. Step 4: Simplify right side
    381,871.52x = 90,117,814,098.21
  5. Step 5: Solve for x
    x = 90,117,814,098.21/381,871.52
  6. Step 6: Final answer
    x = 235,989.88

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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.