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Finding the Fourth Proportional to 643,960.80, 965,163.60 and 328,255.20

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Solution

The fourth proportional to 643,960.80, 965,163.60 and 328,255.20 is: 491,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,960.80 : 965,163.60 = 328,255.20 : x
  2. Step 2: Convert to fraction form
    643,960.80/965,163.60 = 328,255.20/x
  3. Step 3: Cross multiply
    643,960.80x = 965,163.60 × 328,255.20
  4. Step 4: Simplify right side
    643,960.80x = 316,819,970,550.72
  5. Step 5: Solve for x
    x = 316,819,970,550.72/643,960.80
  6. Step 6: Final answer
    x = 491,986.42

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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.