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Finding the Fourth Proportional to 419,757.66, 629,450.72 and 120,169.98

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Solution

The fourth proportional to 419,757.66, 629,450.72 and 120,169.98 is: 180,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,757.66 : 629,450.72 = 120,169.98 : x
  2. Step 2: Convert to fraction form
    419,757.66/629,450.72 = 120,169.98/x
  3. Step 3: Cross multiply
    419,757.66x = 629,450.72 × 120,169.98
  4. Step 4: Simplify right side
    419,757.66x = 75,641,080,433.39
  5. Step 5: Solve for x
    x = 75,641,080,433.39/419,757.66
  6. Step 6: Final answer
    x = 180,201.79

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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.