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Finding the Fourth Proportional to 317,810.92, 476,691.42 and 140,322.28

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Solution

The fourth proportional to 317,810.92, 476,691.42 and 140,322.28 is: 210,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,810.92 : 476,691.42 = 140,322.28 : x
  2. Step 2: Convert to fraction form
    317,810.92/476,691.42 = 140,322.28/x
  3. Step 3: Cross multiply
    317,810.92x = 476,691.42 × 140,322.28
  4. Step 4: Simplify right side
    317,810.92x = 66,890,426,910.84
  5. Step 5: Solve for x
    x = 66,890,426,910.84/317,810.92
  6. Step 6: Final answer
    x = 210,472.40

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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.