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Finding the Fourth Proportional to 305,311.20, 457,966.80 and 187,213.20

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Solution

The fourth proportional to 305,311.20, 457,966.80 and 187,213.20 is: 280,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,311.20 : 457,966.80 = 187,213.20 : x
  2. Step 2: Convert to fraction form
    305,311.20/457,966.80 = 187,213.20/x
  3. Step 3: Cross multiply
    305,311.20x = 457,966.80 × 187,213.20
  4. Step 4: Simplify right side
    305,311.20x = 85,737,430,121.76
  5. Step 5: Solve for x
    x = 85,737,430,121.76/305,311.20
  6. Step 6: Final answer
    x = 280,819.80

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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.