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Finding the Fourth Proportional to 320,418.70, 480,655.39 and 83,761

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Solution

The fourth proportional to 320,418.70, 480,655.39 and 83,761 is: 125,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,418.70 : 480,655.39 = 83,761 : x
  2. Step 2: Convert to fraction form
    320,418.70/480,655.39 = 83,761/x
  3. Step 3: Cross multiply
    320,418.70x = 480,655.39 × 83,761
  4. Step 4: Simplify right side
    320,418.70x = 40,260,176,121.79
  5. Step 5: Solve for x
    x = 40,260,176,121.79/320,418.70
  6. Step 6: Final answer
    x = 125,648.65

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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.