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Finding the Fourth Proportional to 253,820.80, 380,270.40 and 206,819.20

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Solution

The fourth proportional to 253,820.80, 380,270.40 and 206,819.20 is: 309,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,820.80 : 380,270.40 = 206,819.20 : x
  2. Step 2: Convert to fraction form
    253,820.80/380,270.40 = 206,819.20/x
  3. Step 3: Cross multiply
    253,820.80x = 380,270.40 × 206,819.20
  4. Step 4: Simplify right side
    253,820.80x = 78,647,219,911.68
  5. Step 5: Solve for x
    x = 78,647,219,911.68/253,820.80
  6. Step 6: Final answer
    x = 309,853.33

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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.