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Finding the Fourth Proportional to 381,419.52, 572,315.12 and 156,847.44

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Solution

The fourth proportional to 381,419.52, 572,315.12 and 156,847.44 is: 235,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,419.52 : 572,315.12 = 156,847.44 : x
  2. Step 2: Convert to fraction form
    381,419.52/572,315.12 = 156,847.44/x
  3. Step 3: Cross multiply
    381,419.52x = 572,315.12 × 156,847.44
  4. Step 4: Simplify right side
    381,419.52x = 89,766,161,445.29
  5. Step 5: Solve for x
    x = 89,766,161,445.29/381,419.52
  6. Step 6: Final answer
    x = 235,347.58

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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.