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Finding the Fourth Proportional to 408,957.31, 613,561.17 and 209,418.98

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Solution

The fourth proportional to 408,957.31, 613,561.17 and 209,418.98 is: 314,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,957.31 : 613,561.17 = 209,418.98 : x
  2. Step 2: Convert to fraction form
    408,957.31/613,561.17 = 209,418.98/x
  3. Step 3: Cross multiply
    408,957.31x = 613,561.17 × 209,418.98
  4. Step 4: Simplify right side
    408,957.31x = 128,491,350,274.11
  5. Step 5: Solve for x
    x = 128,491,350,274.11/408,957.31
  6. Step 6: Final answer
    x = 314,192.57

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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.