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Finding the Fourth Proportional to 419,836.49, 629,754.59 and 135,568.85

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Solution

The fourth proportional to 419,836.49, 629,754.59 and 135,568.85 is: 203,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,836.49 : 629,754.59 = 135,568.85 : x
  2. Step 2: Convert to fraction form
    419,836.49/629,754.59 = 135,568.85/x
  3. Step 3: Cross multiply
    419,836.49x = 629,754.59 × 135,568.85
  4. Step 4: Simplify right side
    419,836.49x = 85,375,101,721.90
  5. Step 5: Solve for x
    x = 85,375,101,721.90/419,836.49
  6. Step 6: Final answer
    x = 203,353.22

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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.