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Finding the Fourth Proportional to 381,391.62, 572,271.75 and 156,917.70

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Solution

The fourth proportional to 381,391.62, 572,271.75 and 156,917.70 is: 235,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,391.62 : 572,271.75 = 156,917.70 : x
  2. Step 2: Convert to fraction form
    381,391.62/572,271.75 = 156,917.70/x
  3. Step 3: Cross multiply
    381,391.62x = 572,271.75 × 156,917.70
  4. Step 4: Simplify right side
    381,391.62x = 89,799,566,784.98
  5. Step 5: Solve for x
    x = 89,799,566,784.98/381,391.62
  6. Step 6: Final answer
    x = 235,452.39

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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.