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Finding the Fourth Proportional to 274,347.44, 378,728.90 and 206,390.30

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Solution

The fourth proportional to 274,347.44, 378,728.90 and 206,390.30 is: 284,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,347.44 : 378,728.90 = 206,390.30 : x
  2. Step 2: Convert to fraction form
    274,347.44/378,728.90 = 206,390.30/x
  3. Step 3: Cross multiply
    274,347.44x = 378,728.90 × 206,390.30
  4. Step 4: Simplify right side
    274,347.44x = 78,165,969,138.04
  5. Step 5: Solve for x
    x = 78,165,969,138.04/274,347.44
  6. Step 6: Final answer
    x = 284,915.98

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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.