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Finding the Fourth Proportional to 457,969.92, 686,736.72 and 169,687.68

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Solution

The fourth proportional to 457,969.92, 686,736.72 and 169,687.68 is: 254,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,969.92 : 686,736.72 = 169,687.68 : x
  2. Step 2: Convert to fraction form
    457,969.92/686,736.72 = 169,687.68/x
  3. Step 3: Cross multiply
    457,969.92x = 686,736.72 × 169,687.68
  4. Step 4: Simplify right side
    457,969.92x = 116,530,760,787.61
  5. Step 5: Solve for x
    x = 116,530,760,787.61/457,969.92
  6. Step 6: Final answer
    x = 254,450.69

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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.