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Finding the Fourth Proportional to 321,576.27, 482,386.95 and 96,938.55

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Solution

The fourth proportional to 321,576.27, 482,386.95 and 96,938.55 is: 145,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,576.27 : 482,386.95 = 96,938.55 : x
  2. Step 2: Convert to fraction form
    321,576.27/482,386.95 = 96,938.55/x
  3. Step 3: Cross multiply
    321,576.27x = 482,386.95 × 96,938.55
  4. Step 4: Simplify right side
    321,576.27x = 46,761,891,471.92
  5. Step 5: Solve for x
    x = 46,761,891,471.92/321,576.27
  6. Step 6: Final answer
    x = 145,414.62

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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.