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Finding the Fourth Proportional to 419,243.54, 628,768.11 and 119,716.34

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Solution

The fourth proportional to 419,243.54, 628,768.11 and 119,716.34 is: 179,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,243.54 : 628,768.11 = 119,716.34 : x
  2. Step 2: Convert to fraction form
    419,243.54/628,768.11 = 119,716.34/x
  3. Step 3: Cross multiply
    419,243.54x = 628,768.11 × 119,716.34
  4. Step 4: Simplify right side
    419,243.54x = 75,273,816,837.92
  5. Step 5: Solve for x
    x = 75,273,816,837.92/419,243.54
  6. Step 6: Final answer
    x = 179,546.75

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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.