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Finding the Fourth Proportional to 820,062.33, 1,229,020.02 and 440,539.49

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Solution

The fourth proportional to 820,062.33, 1,229,020.02 and 440,539.49 is: 660,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,062.33 : 1,229,020.02 = 440,539.49 : x
  2. Step 2: Convert to fraction form
    820,062.33/1,229,020.02 = 440,539.49/x
  3. Step 3: Cross multiply
    820,062.33x = 1,229,020.02 × 440,539.49
  4. Step 4: Simplify right side
    820,062.33x = 541,431,846,665.49
  5. Step 5: Solve for x
    x = 541,431,846,665.49/820,062.33
  6. Step 6: Final answer
    x = 660,232.55

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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.