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Finding the Fourth Proportional to 457,951.98, 686,060.92 and 305,689.94

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Solution

The fourth proportional to 457,951.98, 686,060.92 and 305,689.94 is: 457,956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,951.98 : 686,060.92 = 305,689.94 : x
  2. Step 2: Convert to fraction form
    457,951.98/686,060.92 = 305,689.94/x
  3. Step 3: Cross multiply
    457,951.98x = 686,060.92 × 305,689.94
  4. Step 4: Simplify right side
    457,951.98x = 209,721,921,471.15
  5. Step 5: Solve for x
    x = 209,721,921,471.15/457,951.98
  6. Step 6: Final answer
    x = 457,956.14

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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.