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Finding the Fourth Proportional to 694,567, 1,040,502.43 and 511,866

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Solution

The fourth proportional to 694,567, 1,040,502.43 and 511,866 is: 766,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,567 : 1,040,502.43 = 511,866 : x
  2. Step 2: Convert to fraction form
    694,567/1,040,502.43 = 511,866/x
  3. Step 3: Cross multiply
    694,567x = 1,040,502.43 × 511,866
  4. Step 4: Simplify right side
    694,567x = 532,597,816,834.38
  5. Step 5: Solve for x
    x = 532,597,816,834.38/694,567
  6. Step 6: Final answer
    x = 766,805.53

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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.