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Finding the Fourth Proportional to 408,906.24, 613,456.44 and 128,423.56

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Solution

The fourth proportional to 408,906.24, 613,456.44 and 128,423.56 is: 192,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,906.24 : 613,456.44 = 128,423.56 : x
  2. Step 2: Convert to fraction form
    408,906.24/613,456.44 = 128,423.56/x
  3. Step 3: Cross multiply
    408,906.24x = 613,456.44 × 128,423.56
  4. Step 4: Simplify right side
    408,906.24x = 78,782,259,929.73
  5. Step 5: Solve for x
    x = 78,782,259,929.73/408,906.24
  6. Step 6: Final answer
    x = 192,665.83

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1.5x scale

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.