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Finding the Fourth Proportional to 402,872.55, 604,318.17 and 132,914.04

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Solution

The fourth proportional to 402,872.55, 604,318.17 and 132,914.04 is: 199,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,872.55 : 604,318.17 = 132,914.04 : x
  2. Step 2: Convert to fraction form
    402,872.55/604,318.17 = 132,914.04/x
  3. Step 3: Cross multiply
    402,872.55x = 604,318.17 × 132,914.04
  4. Step 4: Simplify right side
    402,872.55x = 80,322,369,420.11
  5. Step 5: Solve for x
    x = 80,322,369,420.11/402,872.55
  6. Step 6: Final answer
    x = 199,374.14

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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.