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Finding the Fourth Proportional to 279,949.52, 419,800.76 and 80,224.58

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Solution

The fourth proportional to 279,949.52, 419,800.76 and 80,224.58 is: 120,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,949.52 : 419,800.76 = 80,224.58 : x
  2. Step 2: Convert to fraction form
    279,949.52/419,800.76 = 80,224.58/x
  3. Step 3: Cross multiply
    279,949.52x = 419,800.76 × 80,224.58
  4. Step 4: Simplify right side
    279,949.52x = 33,678,340,603.90
  5. Step 5: Solve for x
    x = 33,678,340,603.90/279,949.52
  6. Step 6: Final answer
    x = 120,301.48

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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.