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Finding the Fourth Proportional to 209,287.44, 313,930.80 and 172,201.44

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Solution

The fourth proportional to 209,287.44, 313,930.80 and 172,201.44 is: 258,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,287.44 : 313,930.80 = 172,201.44 : x
  2. Step 2: Convert to fraction form
    209,287.44/313,930.80 = 172,201.44/x
  3. Step 3: Cross multiply
    209,287.44x = 313,930.80 × 172,201.44
  4. Step 4: Simplify right side
    209,287.44x = 54,059,335,820.35
  5. Step 5: Solve for x
    x = 54,059,335,820.35/209,287.44
  6. Step 6: Final answer
    x = 258,301.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.