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Finding the Fourth Proportional to 309,488.12, 427,169.58 and 188,696

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Solution

The fourth proportional to 309,488.12, 427,169.58 and 188,696 is: 260,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,488.12 : 427,169.58 = 188,696 : x
  2. Step 2: Convert to fraction form
    309,488.12/427,169.58 = 188,696/x
  3. Step 3: Cross multiply
    309,488.12x = 427,169.58 × 188,696
  4. Step 4: Simplify right side
    309,488.12x = 80,605,191,067.68
  5. Step 5: Solve for x
    x = 80,605,191,067.68/309,488.12
  6. Step 6: Final answer
    x = 260,446.80

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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.