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Finding the Fourth Proportional to 275,138.24, 379,713.30 and 161,983.40

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Solution

The fourth proportional to 275,138.24, 379,713.30 and 161,983.40 is: 223,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,138.24 : 379,713.30 = 161,983.40 : x
  2. Step 2: Convert to fraction form
    275,138.24/379,713.30 = 161,983.40/x
  3. Step 3: Cross multiply
    275,138.24x = 379,713.30 × 161,983.40
  4. Step 4: Simplify right side
    275,138.24x = 61,507,251,359.22
  5. Step 5: Solve for x
    x = 61,507,251,359.22/275,138.24
  6. Step 6: Final answer
    x = 223,550.36

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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.