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Finding the Fourth Proportional to 205,846.20, 308,769.30 and 203,877.90

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Solution

The fourth proportional to 205,846.20, 308,769.30 and 203,877.90 is: 305,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,846.20 : 308,769.30 = 203,877.90 : x
  2. Step 2: Convert to fraction form
    205,846.20/308,769.30 = 203,877.90/x
  3. Step 3: Cross multiply
    205,846.20x = 308,769.30 × 203,877.90
  4. Step 4: Simplify right side
    205,846.20x = 62,951,236,468.47
  5. Step 5: Solve for x
    x = 62,951,236,468.47/205,846.20
  6. Step 6: Final answer
    x = 305,816.85

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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.