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Finding the Fourth Proportional to 431,607.30, 647,597.52 and 231,694.23

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Solution

The fourth proportional to 431,607.30, 647,597.52 and 231,694.23 is: 347,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,607.30 : 647,597.52 = 231,694.23 : x
  2. Step 2: Convert to fraction form
    431,607.30/647,597.52 = 231,694.23/x
  3. Step 3: Cross multiply
    431,607.30x = 647,597.52 × 231,694.23
  4. Step 4: Simplify right side
    431,607.30x = 150,044,608,746.31
  5. Step 5: Solve for x
    x = 150,044,608,746.31/431,607.30
  6. Step 6: Final answer
    x = 347,641.50

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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.