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Finding the Fourth Proportional to 431,687.70, 647,531.55 and 428,922.90

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Solution

The fourth proportional to 431,687.70, 647,531.55 and 428,922.90 is: 643,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,687.70 : 647,531.55 = 428,922.90 : x
  2. Step 2: Convert to fraction form
    431,687.70/647,531.55 = 428,922.90/x
  3. Step 3: Cross multiply
    431,687.70x = 647,531.55 × 428,922.90
  4. Step 4: Simplify right side
    431,687.70x = 277,741,110,267.50
  5. Step 5: Solve for x
    x = 277,741,110,267.50/431,687.70
  6. Step 6: Final answer
    x = 643,384.35

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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.