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Finding the Fourth Proportional to 316,891.83, 475,338.84 and 80,234.40

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Solution

The fourth proportional to 316,891.83, 475,338.84 and 80,234.40 is: 120,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,891.83 : 475,338.84 = 80,234.40 : x
  2. Step 2: Convert to fraction form
    316,891.83/475,338.84 = 80,234.40/x
  3. Step 3: Cross multiply
    316,891.83x = 475,338.84 × 80,234.40
  4. Step 4: Simplify right side
    316,891.83x = 38,138,526,624.10
  5. Step 5: Solve for x
    x = 38,138,526,624.10/316,891.83
  6. Step 6: Final answer
    x = 120,351.88

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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.