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Finding the Fourth Proportional to 309,481.25, 427,160.09 and 188,689.14

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Solution

The fourth proportional to 309,481.25, 427,160.09 and 188,689.14 is: 260,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,481.25 : 427,160.09 = 188,689.14 : x
  2. Step 2: Convert to fraction form
    309,481.25/427,160.09 = 188,689.14/x
  3. Step 3: Cross multiply
    309,481.25x = 427,160.09 × 188,689.14
  4. Step 4: Simplify right side
    309,481.25x = 80,600,469,080.98
  5. Step 5: Solve for x
    x = 80,600,469,080.98/309,481.25
  6. Step 6: Final answer
    x = 260,437.33

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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.