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Finding the Fourth Proportional to 230,378.40, 345,544.92 and 80,591.04

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Solution

The fourth proportional to 230,378.40, 345,544.92 and 80,591.04 is: 120,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,378.40 : 345,544.92 = 80,591.04 : x
  2. Step 2: Convert to fraction form
    230,378.40/345,544.92 = 80,591.04/x
  3. Step 3: Cross multiply
    230,378.40x = 345,544.92 × 80,591.04
  4. Step 4: Simplify right side
    230,378.40x = 27,847,824,469.52
  5. Step 5: Solve for x
    x = 27,847,824,469.52/230,378.40
  6. Step 6: Final answer
    x = 120,878.63

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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.