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Finding the Fourth Proportional to 279,863.21, 419,792.72 and 80,183.76

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Solution

The fourth proportional to 279,863.21, 419,792.72 and 80,183.76 is: 120,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,863.21 : 419,792.72 = 80,183.76 : x
  2. Step 2: Convert to fraction form
    279,863.21/419,792.72 = 80,183.76/x
  3. Step 3: Cross multiply
    279,863.21x = 419,792.72 × 80,183.76
  4. Step 4: Simplify right side
    279,863.21x = 33,660,558,710.23
  5. Step 5: Solve for x
    x = 33,660,558,710.23/279,863.21
  6. Step 6: Final answer
    x = 120,275.04

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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.