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Finding the Fourth Proportional to 419,843.95, 629,609.19 and 135,463.08

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Solution

The fourth proportional to 419,843.95, 629,609.19 and 135,463.08 is: 203,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,843.95 : 629,609.19 = 135,463.08 : x
  2. Step 2: Convert to fraction form
    419,843.95/629,609.19 = 135,463.08/x
  3. Step 3: Cross multiply
    419,843.95x = 629,609.19 × 135,463.08
  4. Step 4: Simplify right side
    419,843.95x = 85,288,800,073.71
  5. Step 5: Solve for x
    x = 85,288,800,073.71/419,843.95
  6. Step 6: Final answer
    x = 203,144.05

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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.