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Finding the Fourth Proportional to 316,909.25, 475,364.68 and 80,251.95

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Solution

The fourth proportional to 316,909.25, 475,364.68 and 80,251.95 is: 120,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,909.25 : 475,364.68 = 80,251.95 : x
  2. Step 2: Convert to fraction form
    316,909.25/475,364.68 = 80,251.95/x
  3. Step 3: Cross multiply
    316,909.25x = 475,364.68 × 80,251.95
  4. Step 4: Simplify right side
    316,909.25x = 38,148,942,531.13
  5. Step 5: Solve for x
    x = 38,148,942,531.13/316,909.25
  6. Step 6: Final answer
    x = 120,378.13

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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.