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Finding the Fourth Proportional to 309,906, 427,743.28 and 189,147.12

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Solution

The fourth proportional to 309,906, 427,743.28 and 189,147.12 is: 261,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,906 : 427,743.28 = 189,147.12 : x
  2. Step 2: Convert to fraction form
    309,906/427,743.28 = 189,147.12/x
  3. Step 3: Cross multiply
    309,906x = 427,743.28 × 189,147.12
  4. Step 4: Simplify right side
    309,906x = 80,906,409,511.35
  5. Step 5: Solve for x
    x = 80,906,409,511.35/309,906
  6. Step 6: Final answer
    x = 261,067.58

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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.