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Finding the Fourth Proportional to 419,119.36, 628,785.15 and 119,601

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Solution

The fourth proportional to 419,119.36, 628,785.15 and 119,601 is: 179,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,119.36 : 628,785.15 = 119,601 : x
  2. Step 2: Convert to fraction form
    419,119.36/628,785.15 = 119,601/x
  3. Step 3: Cross multiply
    419,119.36x = 628,785.15 × 119,601
  4. Step 4: Simplify right side
    419,119.36x = 75,203,332,276.65
  5. Step 5: Solve for x
    x = 75,203,332,276.65/419,119.36
  6. Step 6: Final answer
    x = 179,431.78

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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.