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Finding the Fourth Proportional to 275,005.38, 413,139.65 and 194,138.34

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Solution

The fourth proportional to 275,005.38, 413,139.65 and 194,138.34 is: 291,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,005.38 : 413,139.65 = 194,138.34 : x
  2. Step 2: Convert to fraction form
    275,005.38/413,139.65 = 194,138.34/x
  3. Step 3: Cross multiply
    275,005.38x = 413,139.65 × 194,138.34
  4. Step 4: Simplify right side
    275,005.38x = 80,206,244,868.49
  5. Step 5: Solve for x
    x = 80,206,244,868.49/275,005.38
  6. Step 6: Final answer
    x = 291,653.37

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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.