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Finding the Fourth Proportional to 431,676.30, 647,963.57 and 317,952.52

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Solution

The fourth proportional to 431,676.30, 647,963.57 and 317,952.52 is: 477,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,676.30 : 647,963.57 = 317,952.52 : x
  2. Step 2: Convert to fraction form
    431,676.30/647,963.57 = 317,952.52/x
  3. Step 3: Cross multiply
    431,676.30x = 647,963.57 × 317,952.52
  4. Step 4: Simplify right side
    431,676.30x = 206,021,649,949.70
  5. Step 5: Solve for x
    x = 206,021,649,949.70/431,676.30
  6. Step 6: Final answer
    x = 477,259.58

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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.