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Finding the Fourth Proportional to 274,854.56, 380,062.80 and 218,167.52

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Solution

The fourth proportional to 274,854.56, 380,062.80 and 218,167.52 is: 301,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,854.56 : 380,062.80 = 218,167.52 : x
  2. Step 2: Convert to fraction form
    274,854.56/380,062.80 = 218,167.52/x
  3. Step 3: Cross multiply
    274,854.56x = 380,062.80 × 218,167.52
  4. Step 4: Simplify right side
    274,854.56x = 82,917,358,520.26
  5. Step 5: Solve for x
    x = 82,917,358,520.26/274,854.56
  6. Step 6: Final answer
    x = 301,677.22

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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.