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Finding the Fourth Proportional to 320,374.43, 480,324.38 and 193,984.97

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Solution

The fourth proportional to 320,374.43, 480,324.38 and 193,984.97 is: 290,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,374.43 : 480,324.38 = 193,984.97 : x
  2. Step 2: Convert to fraction form
    320,374.43/480,324.38 = 193,984.97/x
  3. Step 3: Cross multiply
    320,374.43x = 480,324.38 × 193,984.97
  4. Step 4: Simplify right side
    320,374.43x = 93,175,707,073.02
  5. Step 5: Solve for x
    x = 93,175,707,073.02/320,374.43
  6. Step 6: Final answer
    x = 290,833.78

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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.