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Finding the Fourth Proportional to 274,034.34, 410,771.34 and 155,455.20

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Solution

The fourth proportional to 274,034.34, 410,771.34 and 155,455.20 is: 233,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,034.34 : 410,771.34 = 155,455.20 : x
  2. Step 2: Convert to fraction form
    274,034.34/410,771.34 = 155,455.20/x
  3. Step 3: Cross multiply
    274,034.34x = 410,771.34 × 155,455.20
  4. Step 4: Simplify right side
    274,034.34x = 63,856,540,813.97
  5. Step 5: Solve for x
    x = 63,856,540,813.97/274,034.34
  6. Step 6: Final answer
    x = 233,023.86

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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.