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Finding the Fourth Proportional to 411,202.88, 616,350.88 and 268,989.12

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Solution

The fourth proportional to 411,202.88, 616,350.88 and 268,989.12 is: 403,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,202.88 : 616,350.88 = 268,989.12 : x
  2. Step 2: Convert to fraction form
    411,202.88/616,350.88 = 268,989.12/x
  3. Step 3: Cross multiply
    411,202.88x = 616,350.88 × 268,989.12
  4. Step 4: Simplify right side
    411,202.88x = 165,791,680,822.43
  5. Step 5: Solve for x
    x = 165,791,680,822.43/411,202.88
  6. Step 6: Final answer
    x = 403,187.06

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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.