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Finding the Fourth Proportional to 419,851.80, 629,618.10 and 135,499.73

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Solution

The fourth proportional to 419,851.80, 629,618.10 and 135,499.73 is: 203,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,851.80 : 629,618.10 = 135,499.73 : x
  2. Step 2: Convert to fraction form
    419,851.80/629,618.10 = 135,499.73/x
  3. Step 3: Cross multiply
    419,851.80x = 629,618.10 × 135,499.73
  4. Step 4: Simplify right side
    419,851.80x = 85,313,079,405.02
  5. Step 5: Solve for x
    x = 85,313,079,405.02/419,851.80
  6. Step 6: Final answer
    x = 203,198.08

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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.