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Finding the Fourth Proportional to 408,879.60, 613,100.70 and 142,648.80

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Solution

The fourth proportional to 408,879.60, 613,100.70 and 142,648.80 is: 213,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,879.60 : 613,100.70 = 142,648.80 : x
  2. Step 2: Convert to fraction form
    408,879.60/613,100.70 = 142,648.80/x
  3. Step 3: Cross multiply
    408,879.60x = 613,100.70 × 142,648.80
  4. Step 4: Simplify right side
    408,879.60x = 87,458,079,134.16
  5. Step 5: Solve for x
    x = 87,458,079,134.16/408,879.60
  6. Step 6: Final answer
    x = 213,896.90

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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.