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Finding the Fourth Proportional to 274,347.91, 378,729.56 and 206,390.82

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Solution

The fourth proportional to 274,347.91, 378,729.56 and 206,390.82 is: 284,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,347.91 : 378,729.56 = 206,390.82 : x
  2. Step 2: Convert to fraction form
    274,347.91/378,729.56 = 206,390.82/x
  3. Step 3: Cross multiply
    274,347.91x = 378,729.56 × 206,390.82
  4. Step 4: Simplify right side
    274,347.91x = 78,166,303,091.55
  5. Step 5: Solve for x
    x = 78,166,303,091.55/274,347.91
  6. Step 6: Final answer
    x = 284,916.71

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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.