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Finding the Fourth Proportional to 397,409.75, 595,968.82 and 131,091.47

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Solution

The fourth proportional to 397,409.75, 595,968.82 and 131,091.47 is: 196,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,409.75 : 595,968.82 = 131,091.47 : x
  2. Step 2: Convert to fraction form
    397,409.75/595,968.82 = 131,091.47/x
  3. Step 3: Cross multiply
    397,409.75x = 595,968.82 × 131,091.47
  4. Step 4: Simplify right side
    397,409.75x = 78,126,428,687.97
  5. Step 5: Solve for x
    x = 78,126,428,687.97/397,409.75
  6. Step 6: Final answer
    x = 196,589.11

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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.