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Finding the Fourth Proportional to 404,207.40, 606,311.10 and 137,976.60

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Solution

The fourth proportional to 404,207.40, 606,311.10 and 137,976.60 is: 206,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,207.40 : 606,311.10 = 137,976.60 : x
  2. Step 2: Convert to fraction form
    404,207.40/606,311.10 = 137,976.60/x
  3. Step 3: Cross multiply
    404,207.40x = 606,311.10 × 137,976.60
  4. Step 4: Simplify right side
    404,207.40x = 83,656,744,120.26
  5. Step 5: Solve for x
    x = 83,656,744,120.26/404,207.40
  6. Step 6: Final answer
    x = 206,964.90

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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.