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Finding the Fourth Proportional to 206,620.40, 309,930.60 and 205,065.20

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Solution

The fourth proportional to 206,620.40, 309,930.60 and 205,065.20 is: 307,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,620.40 : 309,930.60 = 205,065.20 : x
  2. Step 2: Convert to fraction form
    206,620.40/309,930.60 = 205,065.20/x
  3. Step 3: Cross multiply
    206,620.40x = 309,930.60 × 205,065.20
  4. Step 4: Simplify right side
    206,620.40x = 63,555,980,475.12
  5. Step 5: Solve for x
    x = 63,555,980,475.12/206,620.40
  6. Step 6: Final answer
    x = 307,597.80

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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.