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Finding the Fourth Proportional to 408,736.62, 612,218.79 and 197,932.50

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Solution

The fourth proportional to 408,736.62, 612,218.79 and 197,932.50 is: 296,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,736.62 : 612,218.79 = 197,932.50 : x
  2. Step 2: Convert to fraction form
    408,736.62/612,218.79 = 197,932.50/x
  3. Step 3: Cross multiply
    408,736.62x = 612,218.79 × 197,932.50
  4. Step 4: Simplify right side
    408,736.62x = 121,177,995,651.68
  5. Step 5: Solve for x
    x = 121,177,995,651.68/408,736.62
  6. Step 6: Final answer
    x = 296,469.63

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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.