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Finding the Fourth Proportional to 408,734.82, 613,144.04 and 156,227.85

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Solution

The fourth proportional to 408,734.82, 613,144.04 and 156,227.85 is: 234,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,734.82 : 613,144.04 = 156,227.85 : x
  2. Step 2: Convert to fraction form
    408,734.82/613,144.04 = 156,227.85/x
  3. Step 3: Cross multiply
    408,734.82x = 613,144.04 × 156,227.85
  4. Step 4: Simplify right side
    408,734.82x = 95,790,174,328.37
  5. Step 5: Solve for x
    x = 95,790,174,328.37/408,734.82
  6. Step 6: Final answer
    x = 234,357.75

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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.