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Finding the Fourth Proportional to 641,375.30, 962,394.90 and 465,335.30

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Solution

The fourth proportional to 641,375.30, 962,394.90 and 465,335.30 is: 698,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,375.30 : 962,394.90 = 465,335.30 : x
  2. Step 2: Convert to fraction form
    641,375.30/962,394.90 = 465,335.30/x
  3. Step 3: Cross multiply
    641,375.30x = 962,394.90 × 465,335.30
  4. Step 4: Simplify right side
    641,375.30x = 447,836,319,509.97
  5. Step 5: Solve for x
    x = 447,836,319,509.97/641,375.30
  6. Step 6: Final answer
    x = 698,243.79

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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.