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Finding the Fourth Proportional to 345,380.80, 517,034.40 and 205,067.20

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Solution

The fourth proportional to 345,380.80, 517,034.40 and 205,067.20 is: 306,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,380.80 : 517,034.40 = 205,067.20 : x
  2. Step 2: Convert to fraction form
    345,380.80/517,034.40 = 205,067.20/x
  3. Step 3: Cross multiply
    345,380.80x = 517,034.40 × 205,067.20
  4. Step 4: Simplify right side
    345,380.80x = 106,026,796,711.68
  5. Step 5: Solve for x
    x = 106,026,796,711.68/345,380.80
  6. Step 6: Final answer
    x = 306,985.21

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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.