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Finding the Fourth Proportional to 408,942.80, 613,414.20 and 209,196.80

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Solution

The fourth proportional to 408,942.80, 613,414.20 and 209,196.80 is: 313,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,942.80 : 613,414.20 = 209,196.80 : x
  2. Step 2: Convert to fraction form
    408,942.80/613,414.20 = 209,196.80/x
  3. Step 3: Cross multiply
    408,942.80x = 613,414.20 × 209,196.80
  4. Step 4: Simplify right side
    408,942.80x = 128,324,287,714.56
  5. Step 5: Solve for x
    x = 128,324,287,714.56/408,942.80
  6. Step 6: Final answer
    x = 313,795.20

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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.