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Finding the Fourth Proportional to 381,857.76, 572,742.72 and 101,397.60

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Solution

The fourth proportional to 381,857.76, 572,742.72 and 101,397.60 is: 152,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,857.76 : 572,742.72 = 101,397.60 : x
  2. Step 2: Convert to fraction form
    381,857.76/572,742.72 = 101,397.60/x
  3. Step 3: Cross multiply
    381,857.76x = 572,742.72 × 101,397.60
  4. Step 4: Simplify right side
    381,857.76x = 58,074,737,225.47
  5. Step 5: Solve for x
    x = 58,074,737,225.47/381,857.76
  6. Step 6: Final answer
    x = 152,084.74

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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.