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Finding the Fourth Proportional to 321,640.54, 482,478.11 and 84,976.76

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Solution

The fourth proportional to 321,640.54, 482,478.11 and 84,976.76 is: 127,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,640.54 : 482,478.11 = 84,976.76 : x
  2. Step 2: Convert to fraction form
    321,640.54/482,478.11 = 84,976.76/x
  3. Step 3: Cross multiply
    321,640.54x = 482,478.11 × 84,976.76
  4. Step 4: Simplify right side
    321,640.54x = 40,999,426,558.72
  5. Step 5: Solve for x
    x = 40,999,426,558.72/321,640.54
  6. Step 6: Final answer
    x = 127,469.71

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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.