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Finding the Fourth Proportional to 431,615.65, 647,610.09 and 231,702.61

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Solution

The fourth proportional to 431,615.65, 647,610.09 and 231,702.61 is: 347,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,615.65 : 647,610.09 = 231,702.61 : x
  2. Step 2: Convert to fraction form
    431,615.65/647,610.09 = 231,702.61/x
  3. Step 3: Cross multiply
    431,615.65x = 647,610.09 × 231,702.61
  4. Step 4: Simplify right side
    431,615.65x = 150,052,943,718.77
  5. Step 5: Solve for x
    x = 150,052,943,718.77/431,615.65
  6. Step 6: Final answer
    x = 347,654.09

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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.