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Finding the Fourth Proportional to 317,809.92, 476,689.92 and 140,321.28

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Solution

The fourth proportional to 317,809.92, 476,689.92 and 140,321.28 is: 210,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,809.92 : 476,689.92 = 140,321.28 : x
  2. Step 2: Convert to fraction form
    317,809.92/476,689.92 = 140,321.28/x
  3. Step 3: Cross multiply
    317,809.92x = 476,689.92 × 140,321.28
  4. Step 4: Simplify right side
    317,809.92x = 66,889,739,737.50
  5. Step 5: Solve for x
    x = 66,889,739,737.50/317,809.92
  6. Step 6: Final answer
    x = 210,470.90

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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.