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Finding the Fourth Proportional to 297,357.82, 410,354.17 and 161,391.72

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Solution

The fourth proportional to 297,357.82, 410,354.17 and 161,391.72 is: 222,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,357.82 : 410,354.17 = 161,391.72 : x
  2. Step 2: Convert to fraction form
    297,357.82/410,354.17 = 161,391.72/x
  3. Step 3: Cross multiply
    297,357.82x = 410,354.17 × 161,391.72
  4. Step 4: Simplify right side
    297,357.82x = 66,227,766,440.82
  5. Step 5: Solve for x
    x = 66,227,766,440.82/297,357.82
  6. Step 6: Final answer
    x = 222,720.78

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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.