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Finding the Fourth Proportional to 408,796.25, 613,197.10 and 142,555.73

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Solution

The fourth proportional to 408,796.25, 613,197.10 and 142,555.73 is: 213,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,796.25 : 613,197.10 = 142,555.73 : x
  2. Step 2: Convert to fraction form
    408,796.25/613,197.10 = 142,555.73/x
  3. Step 3: Cross multiply
    408,796.25x = 613,197.10 × 142,555.73
  4. Step 4: Simplify right side
    408,796.25x = 87,414,757,336.59
  5. Step 5: Solve for x
    x = 87,414,757,336.59/408,796.25
  6. Step 6: Final answer
    x = 213,834.54

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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.