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Finding the Fourth Proportional to 306,310.32, 422,646.30 and 178,961.31

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Solution

The fourth proportional to 306,310.32, 422,646.30 and 178,961.31 is: 246,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,310.32 : 422,646.30 = 178,961.31 : x
  2. Step 2: Convert to fraction form
    306,310.32/422,646.30 = 178,961.31/x
  3. Step 3: Cross multiply
    306,310.32x = 422,646.30 × 178,961.31
  4. Step 4: Simplify right side
    306,310.32x = 75,637,335,514.65
  5. Step 5: Solve for x
    x = 75,637,335,514.65/306,310.32
  6. Step 6: Final answer
    x = 246,930.42

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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.