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Finding the Fourth Proportional to 381,074.64, 571,113.65 and 156,171.76

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Solution

The fourth proportional to 381,074.64, 571,113.65 and 156,171.76 is: 234,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,074.64 : 571,113.65 = 156,171.76 : x
  2. Step 2: Convert to fraction form
    381,074.64/571,113.65 = 156,171.76/x
  3. Step 3: Cross multiply
    381,074.64x = 571,113.65 × 156,171.76
  4. Step 4: Simplify right side
    381,074.64x = 89,191,822,843.17
  5. Step 5: Solve for x
    x = 89,191,822,843.17/381,074.64
  6. Step 6: Final answer
    x = 234,053.42

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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.