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Finding the Fourth Proportional to 293,947.80, 440,874.49 and 80,665.90

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Solution

The fourth proportional to 293,947.80, 440,874.49 and 80,665.90 is: 120,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,947.80 : 440,874.49 = 80,665.90 : x
  2. Step 2: Convert to fraction form
    293,947.80/440,874.49 = 80,665.90/x
  3. Step 3: Cross multiply
    293,947.80x = 440,874.49 × 80,665.90
  4. Step 4: Simplify right side
    293,947.80x = 35,563,535,318.52
  5. Step 5: Solve for x
    x = 35,563,535,318.52/293,947.80
  6. Step 6: Final answer
    x = 120,985.89

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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.