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Finding the Fourth Proportional to 408,711.92, 613,125.36 and 142,434.20

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Solution

The fourth proportional to 408,711.92, 613,125.36 and 142,434.20 is: 213,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,711.92 : 613,125.36 = 142,434.20 : x
  2. Step 2: Convert to fraction form
    408,711.92/613,125.36 = 142,434.20/x
  3. Step 3: Cross multiply
    408,711.92x = 613,125.36 × 142,434.20
  4. Step 4: Simplify right side
    408,711.92x = 87,330,020,151.31
  5. Step 5: Solve for x
    x = 87,330,020,151.31/408,711.92
  6. Step 6: Final answer
    x = 213,671.33

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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.