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Finding the Fourth Proportional to 547,761.20, 821,641.80 and 252,849.20

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Solution

The fourth proportional to 547,761.20, 821,641.80 and 252,849.20 is: 379,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,761.20 : 821,641.80 = 252,849.20 : x
  2. Step 2: Convert to fraction form
    547,761.20/821,641.80 = 252,849.20/x
  3. Step 3: Cross multiply
    547,761.20x = 821,641.80 × 252,849.20
  4. Step 4: Simplify right side
    547,761.20x = 207,751,471,816.56
  5. Step 5: Solve for x
    x = 207,751,471,816.56/547,761.20
  6. Step 6: Final answer
    x = 379,273.80

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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.