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Finding the Fourth Proportional to 381,391.12, 572,271 and 156,917.20

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Solution

The fourth proportional to 381,391.12, 572,271 and 156,917.20 is: 235,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,391.12 : 572,271 = 156,917.20 : x
  2. Step 2: Convert to fraction form
    381,391.12/572,271 = 156,917.20/x
  3. Step 3: Cross multiply
    381,391.12x = 572,271 × 156,917.20
  4. Step 4: Simplify right side
    381,391.12x = 89,799,162,961.20
  5. Step 5: Solve for x
    x = 89,799,162,961.20/381,391.12
  6. Step 6: Final answer
    x = 235,451.64

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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.