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Finding the Fourth Proportional to 317,909.82, 476,863.51 and 81,252.12

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Solution

The fourth proportional to 317,909.82, 476,863.51 and 81,252.12 is: 121,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,909.82 : 476,863.51 = 81,252.12 : x
  2. Step 2: Convert to fraction form
    317,909.82/476,863.51 = 81,252.12/x
  3. Step 3: Cross multiply
    317,909.82x = 476,863.51 × 81,252.12
  4. Step 4: Simplify right side
    317,909.82x = 38,746,171,138.14
  5. Step 5: Solve for x
    x = 38,746,171,138.14/317,909.82
  6. Step 6: Final answer
    x = 121,877.87

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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.