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Finding the Fourth Proportional to 278,691.39, 384,581.22 and 157,833.54

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Solution

The fourth proportional to 278,691.39, 384,581.22 and 157,833.54 is: 217,802.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,691.39 : 384,581.22 = 157,833.54 : x
  2. Step 2: Convert to fraction form
    278,691.39/384,581.22 = 157,833.54/x
  3. Step 3: Cross multiply
    278,691.39x = 384,581.22 × 157,833.54
  4. Step 4: Simplify right side
    278,691.39x = 60,699,815,370.12
  5. Step 5: Solve for x
    x = 60,699,815,370.12/278,691.39
  6. Step 6: Final answer
    x = 217,802.98

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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.