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Finding the Fourth Proportional to 321,983.70, 482,953.95 and 85,321.30

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Solution

The fourth proportional to 321,983.70, 482,953.95 and 85,321.30 is: 127,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,983.70 : 482,953.95 = 85,321.30 : x
  2. Step 2: Convert to fraction form
    321,983.70/482,953.95 = 85,321.30/x
  3. Step 3: Cross multiply
    321,983.70x = 482,953.95 × 85,321.30
  4. Step 4: Simplify right side
    321,983.70x = 41,206,258,854.14
  5. Step 5: Solve for x
    x = 41,206,258,854.14/321,983.70
  6. Step 6: Final answer
    x = 127,976.23

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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.