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Finding the Fourth Proportional to 419,401.80, 629,055.62 and 115,839.11

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Solution

The fourth proportional to 419,401.80, 629,055.62 and 115,839.11 is: 173,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,401.80 : 629,055.62 = 115,839.11 : x
  2. Step 2: Convert to fraction form
    419,401.80/629,055.62 = 115,839.11/x
  3. Step 3: Cross multiply
    419,401.80x = 629,055.62 × 115,839.11
  4. Step 4: Simplify right side
    419,401.80x = 72,869,244,589.14
  5. Step 5: Solve for x
    x = 72,869,244,589.14/419,401.80
  6. Step 6: Final answer
    x = 173,745.66

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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.