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Finding the Fourth Proportional to 300,728.46, 414,998.92 and 164,755.78

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Solution

The fourth proportional to 300,728.46, 414,998.92 and 164,755.78 is: 227,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,728.46 : 414,998.92 = 164,755.78 : x
  2. Step 2: Convert to fraction form
    300,728.46/414,998.92 = 164,755.78/x
  3. Step 3: Cross multiply
    300,728.46x = 414,998.92 × 164,755.78
  4. Step 4: Simplify right side
    300,728.46x = 68,373,469,939.98
  5. Step 5: Solve for x
    x = 68,373,469,939.98/300,728.46
  6. Step 6: Final answer
    x = 227,359.50

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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.