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Finding the Fourth Proportional to 419,371.56, 629,013.60 and 119,832.75

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Solution

The fourth proportional to 419,371.56, 629,013.60 and 119,832.75 is: 179,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,371.56 : 629,013.60 = 119,832.75 : x
  2. Step 2: Convert to fraction form
    419,371.56/629,013.60 = 119,832.75/x
  3. Step 3: Cross multiply
    419,371.56x = 629,013.60 × 119,832.75
  4. Step 4: Simplify right side
    419,371.56x = 75,376,429,475.40
  5. Step 5: Solve for x
    x = 75,376,429,475.40/419,371.56
  6. Step 6: Final answer
    x = 179,736.63

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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.