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Finding the Fourth Proportional to 316,863.98, 475,296.31 and 80,206.66

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Solution

The fourth proportional to 316,863.98, 475,296.31 and 80,206.66 is: 120,310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,863.98 : 475,296.31 = 80,206.66 : x
  2. Step 2: Convert to fraction form
    316,863.98/475,296.31 = 80,206.66/x
  3. Step 3: Cross multiply
    316,863.98x = 475,296.31 × 80,206.66
  4. Step 4: Simplify right side
    316,863.98x = 38,121,927,105.10
  5. Step 5: Solve for x
    x = 38,121,927,105.10/316,863.98
  6. Step 6: Final answer
    x = 120,310.07

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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.