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Finding the Fourth Proportional to 352,434.86, 486,310.24 and 209,251.97

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Solution

The fourth proportional to 352,434.86, 486,310.24 and 209,251.97 is: 288,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,434.86 : 486,310.24 = 209,251.97 : x
  2. Step 2: Convert to fraction form
    352,434.86/486,310.24 = 209,251.97/x
  3. Step 3: Cross multiply
    352,434.86x = 486,310.24 × 209,251.97
  4. Step 4: Simplify right side
    352,434.86x = 101,761,375,751.17
  5. Step 5: Solve for x
    x = 101,761,375,751.17/352,434.86
  6. Step 6: Final answer
    x = 288,738.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.