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Finding the Fourth Proportional to 296,768.75, 409,540.19 and 160,806.38

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Solution

The fourth proportional to 296,768.75, 409,540.19 and 160,806.38 is: 221,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,768.75 : 409,540.19 = 160,806.38 : x
  2. Step 2: Convert to fraction form
    296,768.75/409,540.19 = 160,806.38/x
  3. Step 3: Cross multiply
    296,768.75x = 409,540.19 × 160,806.38
  4. Step 4: Simplify right side
    296,768.75x = 65,856,672,566.68
  5. Step 5: Solve for x
    x = 65,856,672,566.68/296,768.75
  6. Step 6: Final answer
    x = 221,912.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.