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Finding the Fourth Proportional to 228,489.80, 342,793.84 and 133,800

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Solution

The fourth proportional to 228,489.80, 342,793.84 and 133,800 is: 200,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,489.80 : 342,793.84 = 133,800 : x
  2. Step 2: Convert to fraction form
    228,489.80/342,793.84 = 133,800/x
  3. Step 3: Cross multiply
    228,489.80x = 342,793.84 × 133,800
  4. Step 4: Simplify right side
    228,489.80x = 45,865,815,792
  5. Step 5: Solve for x
    x = 45,865,815,792/228,489.80
  6. Step 6: Final answer
    x = 200,734.63

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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.