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Finding the Fourth Proportional to 457,872.60, 687,013.70 and 208,426.20

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Solution

The fourth proportional to 457,872.60, 687,013.70 and 208,426.20 is: 312,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,872.60 : 687,013.70 = 208,426.20 : x
  2. Step 2: Convert to fraction form
    457,872.60/687,013.70 = 208,426.20/x
  3. Step 3: Cross multiply
    457,872.60x = 687,013.70 × 208,426.20
  4. Step 4: Simplify right side
    457,872.60x = 143,191,654,838.94
  5. Step 5: Solve for x
    x = 143,191,654,838.94/457,872.60
  6. Step 6: Final answer
    x = 312,732.53

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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.