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Finding the Fourth Proportional to 467,865.38, 645,654.66 and 274,234.48

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Solution

The fourth proportional to 467,865.38, 645,654.66 and 274,234.48 is: 378,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,865.38 : 645,654.66 = 274,234.48 : x
  2. Step 2: Convert to fraction form
    467,865.38/645,654.66 = 274,234.48/x
  3. Step 3: Cross multiply
    467,865.38x = 645,654.66 × 274,234.48
  4. Step 4: Simplify right side
    467,865.38x = 177,060,769,944.68
  5. Step 5: Solve for x
    x = 177,060,769,944.68/467,865.38
  6. Step 6: Final answer
    x = 378,443.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.