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Finding the Fourth Proportional to 419,367.79, 629,072.37 and 119,892.16

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Solution

The fourth proportional to 419,367.79, 629,072.37 and 119,892.16 is: 179,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,367.79 : 629,072.37 = 119,892.16 : x
  2. Step 2: Convert to fraction form
    419,367.79/629,072.37 = 119,892.16/x
  3. Step 3: Cross multiply
    419,367.79x = 629,072.37 × 119,892.16
  4. Step 4: Simplify right side
    419,367.79x = 75,420,845,235.62
  5. Step 5: Solve for x
    x = 75,420,845,235.62/419,367.79
  6. Step 6: Final answer
    x = 179,844.15

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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.