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Finding the Fourth Proportional to 306,321.78, 422,743.41 and 172,194.42

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Solution

The fourth proportional to 306,321.78, 422,743.41 and 172,194.42 is: 237,639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,321.78 : 422,743.41 = 172,194.42 : x
  2. Step 2: Convert to fraction form
    306,321.78/422,743.41 = 172,194.42/x
  3. Step 3: Cross multiply
    306,321.78x = 422,743.41 × 172,194.42
  4. Step 4: Simplify right side
    306,321.78x = 72,794,056,293.77
  5. Step 5: Solve for x
    x = 72,794,056,293.77/306,321.78
  6. Step 6: Final answer
    x = 237,639.18

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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.