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Finding the Fourth Proportional to 419,761.44, 629,456.87 and 120,174.03

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Solution

The fourth proportional to 419,761.44, 629,456.87 and 120,174.03 is: 180,208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,761.44 : 629,456.87 = 120,174.03 : x
  2. Step 2: Convert to fraction form
    419,761.44/629,456.87 = 120,174.03/x
  3. Step 3: Cross multiply
    419,761.44x = 629,456.87 × 120,174.03
  4. Step 4: Simplify right side
    419,761.44x = 75,644,369,079.52
  5. Step 5: Solve for x
    x = 75,644,369,079.52/419,761.44
  6. Step 6: Final answer
    x = 180,208.00

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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.