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Finding the Fourth Proportional to 419,149.96, 628,769.70 and 179,288.67

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Solution

The fourth proportional to 419,149.96, 628,769.70 and 179,288.67 is: 268,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,149.96 : 628,769.70 = 179,288.67 : x
  2. Step 2: Convert to fraction form
    419,149.96/628,769.70 = 179,288.67/x
  3. Step 3: Cross multiply
    419,149.96x = 628,769.70 × 179,288.67
  4. Step 4: Simplify right side
    419,149.96x = 112,731,283,249.30
  5. Step 5: Solve for x
    x = 112,731,283,249.30/419,149.96
  6. Step 6: Final answer
    x = 268,952.15

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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.