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Finding the Fourth Proportional to 490,399.92, 735,077.16 and 279,583.92

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Solution

The fourth proportional to 490,399.92, 735,077.16 and 279,583.92 is: 419,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,399.92 : 735,077.16 = 279,583.92 : x
  2. Step 2: Convert to fraction form
    490,399.92/735,077.16 = 279,583.92/x
  3. Step 3: Cross multiply
    490,399.92x = 735,077.16 × 279,583.92
  4. Step 4: Simplify right side
    490,399.92x = 205,515,753,895.27
  5. Step 5: Solve for x
    x = 205,515,753,895.27/490,399.92
  6. Step 6: Final answer
    x = 419,077.87

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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.