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Finding the Fourth Proportional to 279,908.53, 419,823.51 and 80,245.96

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Solution

The fourth proportional to 279,908.53, 419,823.51 and 80,245.96 is: 120,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,908.53 : 419,823.51 = 80,245.96 : x
  2. Step 2: Convert to fraction form
    279,908.53/419,823.51 = 80,245.96/x
  3. Step 3: Cross multiply
    279,908.53x = 419,823.51 × 80,245.96
  4. Step 4: Simplify right side
    279,908.53x = 33,689,140,590.52
  5. Step 5: Solve for x
    x = 33,689,140,590.52/279,908.53
  6. Step 6: Final answer
    x = 120,357.68

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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.