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Finding the Fourth Proportional to 269,809.88, 404,644.31 and 80,219.18

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Solution

The fourth proportional to 269,809.88, 404,644.31 and 80,219.18 is: 120,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,809.88 : 404,644.31 = 80,219.18 : x
  2. Step 2: Convert to fraction form
    269,809.88/404,644.31 = 80,219.18/x
  3. Step 3: Cross multiply
    269,809.88x = 404,644.31 × 80,219.18
  4. Step 4: Simplify right side
    269,809.88x = 32,460,234,739.87
  5. Step 5: Solve for x
    x = 32,460,234,739.87/269,809.88
  6. Step 6: Final answer
    x = 120,307.81

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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.