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Finding the Fourth Proportional to 431,963.65, 647,440.89 and 325,003.96

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Solution

The fourth proportional to 431,963.65, 647,440.89 and 325,003.96 is: 487,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,963.65 : 647,440.89 = 325,003.96 : x
  2. Step 2: Convert to fraction form
    431,963.65/647,440.89 = 325,003.96/x
  3. Step 3: Cross multiply
    431,963.65x = 647,440.89 × 325,003.96
  4. Step 4: Simplify right side
    431,963.65x = 210,420,853,115.92
  5. Step 5: Solve for x
    x = 210,420,853,115.92/431,963.65
  6. Step 6: Final answer
    x = 487,126.30

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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.