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Finding the Fourth Proportional to 381,834.32, 572,532 and 157,349.72

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Solution

The fourth proportional to 381,834.32, 572,532 and 157,349.72 is: 235,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,834.32 : 572,532 = 157,349.72 : x
  2. Step 2: Convert to fraction form
    381,834.32/572,532 = 157,349.72/x
  3. Step 3: Cross multiply
    381,834.32x = 572,532 × 157,349.72
  4. Step 4: Simplify right side
    381,834.32x = 90,087,749,891.04
  5. Step 5: Solve for x
    x = 90,087,749,891.04/381,834.32
  6. Step 6: Final answer
    x = 235,934.13

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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.