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Finding the Fourth Proportional to 323,043.20, 485,083.20 and 218,326.40

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Solution

The fourth proportional to 323,043.20, 485,083.20 and 218,326.40 is: 327,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,043.20 : 485,083.20 = 218,326.40 : x
  2. Step 2: Convert to fraction form
    323,043.20/485,083.20 = 218,326.40/x
  3. Step 3: Cross multiply
    323,043.20x = 485,083.20 × 218,326.40
  4. Step 4: Simplify right side
    323,043.20x = 105,906,468,756.48
  5. Step 5: Solve for x
    x = 105,906,468,756.48/323,043.20
  6. Step 6: Final answer
    x = 327,839.96

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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.