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Finding the Fourth Proportional to 381,385.12, 572,262 and 156,911.20

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Solution

The fourth proportional to 381,385.12, 572,262 and 156,911.20 is: 235,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,385.12 : 572,262 = 156,911.20 : x
  2. Step 2: Convert to fraction form
    381,385.12/572,262 = 156,911.20/x
  3. Step 3: Cross multiply
    381,385.12x = 572,262 × 156,911.20
  4. Step 4: Simplify right side
    381,385.12x = 89,794,317,134.40
  5. Step 5: Solve for x
    x = 89,794,317,134.40/381,385.12
  6. Step 6: Final answer
    x = 235,442.63

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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.