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Finding the Fourth Proportional to 408,856.56, 613,062.24 and 142,545.48

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Solution

The fourth proportional to 408,856.56, 613,062.24 and 142,545.48 is: 213,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,856.56 : 613,062.24 = 142,545.48 : x
  2. Step 2: Convert to fraction form
    408,856.56/613,062.24 = 142,545.48/x
  3. Step 3: Cross multiply
    408,856.56x = 613,062.24 × 142,545.48
  4. Step 4: Simplify right side
    408,856.56x = 87,389,251,270.68
  5. Step 5: Solve for x
    x = 87,389,251,270.68/408,856.56
  6. Step 6: Final answer
    x = 213,740.61

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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.