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Finding the Fourth Proportional to 408,793.43, 613,192.88 and 142,552.91

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Solution

The fourth proportional to 408,793.43, 613,192.88 and 142,552.91 is: 213,830.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,793.43 : 613,192.88 = 142,552.91 : x
  2. Step 2: Convert to fraction form
    408,793.43/613,192.88 = 142,552.91/x
  3. Step 3: Cross multiply
    408,793.43x = 613,192.88 × 142,552.91
  4. Step 4: Simplify right side
    408,793.43x = 87,412,431,324.65
  5. Step 5: Solve for x
    x = 87,412,431,324.65/408,793.43
  6. Step 6: Final answer
    x = 213,830.32

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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.