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Finding the Fourth Proportional to 275,814.10, 380,600.13 and 154,945.90

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Solution

The fourth proportional to 275,814.10, 380,600.13 and 154,945.90 is: 213,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,814.10 : 380,600.13 = 154,945.90 : x
  2. Step 2: Convert to fraction form
    275,814.10/380,600.13 = 154,945.90/x
  3. Step 3: Cross multiply
    275,814.10x = 380,600.13 × 154,945.90
  4. Step 4: Simplify right side
    275,814.10x = 58,972,429,682.97
  5. Step 5: Solve for x
    x = 58,972,429,682.97/275,814.10
  6. Step 6: Final answer
    x = 213,812.24

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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.