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Finding the Fourth Proportional to 674,470.80, 1,011,763.44 and 275,138.64

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Solution

The fourth proportional to 674,470.80, 1,011,763.44 and 275,138.64 is: 412,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,470.80 : 1,011,763.44 = 275,138.64 : x
  2. Step 2: Convert to fraction form
    674,470.80/1,011,763.44 = 275,138.64/x
  3. Step 3: Cross multiply
    674,470.80x = 1,011,763.44 × 275,138.64
  4. Step 4: Simplify right side
    674,470.80x = 278,375,216,883.32
  5. Step 5: Solve for x
    x = 278,375,216,883.32/674,470.80
  6. Step 6: Final answer
    x = 412,731.31

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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.