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Finding the Fourth Proportional to 315,063.30, 472,472.10 and 137,449.20

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Solution

The fourth proportional to 315,063.30, 472,472.10 and 137,449.20 is: 206,120.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,063.30 : 472,472.10 = 137,449.20 : x
  2. Step 2: Convert to fraction form
    315,063.30/472,472.10 = 137,449.20/x
  3. Step 3: Cross multiply
    315,063.30x = 472,472.10 × 137,449.20
  4. Step 4: Simplify right side
    315,063.30x = 64,940,912,167.32
  5. Step 5: Solve for x
    x = 64,940,912,167.32/315,063.30
  6. Step 6: Final answer
    x = 206,120.21

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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.