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Finding the Fourth Proportional to 408,879.52, 613,343.88 and 128,396.77

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Solution

The fourth proportional to 408,879.52, 613,343.88 and 128,396.77 is: 192,602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,879.52 : 613,343.88 = 128,396.77 : x
  2. Step 2: Convert to fraction form
    408,879.52/613,343.88 = 128,396.77/x
  3. Step 3: Cross multiply
    408,879.52x = 613,343.88 × 128,396.77
  4. Step 4: Simplify right side
    408,879.52x = 78,751,371,557.91
  5. Step 5: Solve for x
    x = 78,751,371,557.91/408,879.52
  6. Step 6: Final answer
    x = 192,602.88

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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.