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Finding the Fourth Proportional to 419,351.78, 629,048.33 and 119,876.15

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Solution

The fourth proportional to 419,351.78, 629,048.33 and 119,876.15 is: 179,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,351.78 : 629,048.33 = 119,876.15 : x
  2. Step 2: Convert to fraction form
    419,351.78/629,048.33 = 119,876.15/x
  3. Step 3: Cross multiply
    419,351.78x = 629,048.33 × 119,876.15
  4. Step 4: Simplify right side
    419,351.78x = 75,407,893,387.11
  5. Step 5: Solve for x
    x = 75,407,893,387.11/419,351.78
  6. Step 6: Final answer
    x = 179,820.13

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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.