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Finding the Fourth Proportional to 279,999.10, 419,996.67 and 80,319.70

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Solution

The fourth proportional to 279,999.10, 419,996.67 and 80,319.70 is: 120,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,999.10 : 419,996.67 = 80,319.70 : x
  2. Step 2: Convert to fraction form
    279,999.10/419,996.67 = 80,319.70/x
  3. Step 3: Cross multiply
    279,999.10x = 419,996.67 × 80,319.70
  4. Step 4: Simplify right side
    279,999.10x = 33,734,006,535.40
  5. Step 5: Solve for x
    x = 33,734,006,535.40/279,999.10
  6. Step 6: Final answer
    x = 120,478.98

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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.