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Finding the Fourth Proportional to 419,105.08, 628,755.18 and 119,589.76

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Solution

The fourth proportional to 419,105.08, 628,755.18 and 119,589.76 is: 179,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,105.08 : 628,755.18 = 119,589.76 : x
  2. Step 2: Convert to fraction form
    419,105.08/628,755.18 = 119,589.76/x
  3. Step 3: Cross multiply
    419,105.08x = 628,755.18 × 119,589.76
  4. Step 4: Simplify right side
    419,105.08x = 75,192,681,074.96
  5. Step 5: Solve for x
    x = 75,192,681,074.96/419,105.08
  6. Step 6: Final answer
    x = 179,412.48

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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.