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Finding the Fourth Proportional to 320,177.60, 479,344.80 and 195,761.60

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Solution

The fourth proportional to 320,177.60, 479,344.80 and 195,761.60 is: 293,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,177.60 : 479,344.80 = 195,761.60 : x
  2. Step 2: Convert to fraction form
    320,177.60/479,344.80 = 195,761.60/x
  3. Step 3: Cross multiply
    320,177.60x = 479,344.80 × 195,761.60
  4. Step 4: Simplify right side
    320,177.60x = 93,837,304,999.68
  5. Step 5: Solve for x
    x = 93,837,304,999.68/320,177.60
  6. Step 6: Final answer
    x = 293,078.92

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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.