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Finding the Fourth Proportional to 306,267, 422,648.46 and 172,131

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Solution

The fourth proportional to 306,267, 422,648.46 and 172,131 is: 237,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,267 : 422,648.46 = 172,131 : x
  2. Step 2: Convert to fraction form
    306,267/422,648.46 = 172,131/x
  3. Step 3: Cross multiply
    306,267x = 422,648.46 × 172,131
  4. Step 4: Simplify right side
    306,267x = 72,750,902,068.26
  5. Step 5: Solve for x
    x = 72,750,902,068.26/306,267
  6. Step 6: Final answer
    x = 237,540.78

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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.