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Finding the Fourth Proportional to 274,347.72, 378,729.30 and 206,390.63

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Solution

The fourth proportional to 274,347.72, 378,729.30 and 206,390.63 is: 284,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,347.72 : 378,729.30 = 206,390.63 : x
  2. Step 2: Convert to fraction form
    274,347.72/378,729.30 = 206,390.63/x
  3. Step 3: Cross multiply
    274,347.72x = 378,729.30 × 206,390.63
  4. Step 4: Simplify right side
    274,347.72x = 78,166,177,706.78
  5. Step 5: Solve for x
    x = 78,166,177,706.78/274,347.72
  6. Step 6: Final answer
    x = 284,916.44

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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.