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Finding the Fourth Proportional to 408,943.88, 611,707.23 and 287,355.90

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Solution

The fourth proportional to 408,943.88, 611,707.23 and 287,355.90 is: 429,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,943.88 : 611,707.23 = 287,355.90 : x
  2. Step 2: Convert to fraction form
    408,943.88/611,707.23 = 287,355.90/x
  3. Step 3: Cross multiply
    408,943.88x = 611,707.23 × 287,355.90
  4. Step 4: Simplify right side
    408,943.88x = 175,777,681,613.16
  5. Step 5: Solve for x
    x = 175,777,681,613.16/408,943.88
  6. Step 6: Final answer
    x = 429,833.26

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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.