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Finding the Fourth Proportional to 419,758.65, 629,452.22 and 120,170.97

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Solution

The fourth proportional to 419,758.65, 629,452.22 and 120,170.97 is: 180,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,758.65 : 629,452.22 = 120,170.97 : x
  2. Step 2: Convert to fraction form
    419,758.65/629,452.22 = 120,170.97/x
  3. Step 3: Cross multiply
    419,758.65x = 629,452.22 × 120,170.97
  4. Step 4: Simplify right side
    419,758.65x = 75,641,883,245.20
  5. Step 5: Solve for x
    x = 75,641,883,245.20/419,758.65
  6. Step 6: Final answer
    x = 180,203.27

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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.