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Finding the Fourth Proportional to 270,680.20, 405,674.70 and 208,040.20

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Solution

The fourth proportional to 270,680.20, 405,674.70 and 208,040.20 is: 311,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,680.20 : 405,674.70 = 208,040.20 : x
  2. Step 2: Convert to fraction form
    270,680.20/405,674.70 = 208,040.20/x
  3. Step 3: Cross multiply
    270,680.20x = 405,674.70 × 208,040.20
  4. Step 4: Simplify right side
    270,680.20x = 84,396,645,722.94
  5. Step 5: Solve for x
    x = 84,396,645,722.94/270,680.20
  6. Step 6: Final answer
    x = 311,794.68

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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.