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Finding the Fourth Proportional to 428,939.92, 642,991.51 and 204,239.98

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Solution

The fourth proportional to 428,939.92, 642,991.51 and 204,239.98 is: 306,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,939.92 : 642,991.51 = 204,239.98 : x
  2. Step 2: Convert to fraction form
    428,939.92/642,991.51 = 204,239.98/x
  3. Step 3: Cross multiply
    428,939.92x = 642,991.51 × 204,239.98
  4. Step 4: Simplify right side
    428,939.92x = 131,324,573,142.57
  5. Step 5: Solve for x
    x = 131,324,573,142.57/428,939.92
  6. Step 6: Final answer
    x = 306,160.76

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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.