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Finding the Fourth Proportional to 819,793, 1,131,314.34 and 442,961

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Solution

The fourth proportional to 819,793, 1,131,314.34 and 442,961 is: 611,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,793 : 1,131,314.34 = 442,961 : x
  2. Step 2: Convert to fraction form
    819,793/1,131,314.34 = 442,961/x
  3. Step 3: Cross multiply
    819,793x = 1,131,314.34 × 442,961
  4. Step 4: Simplify right side
    819,793x = 501,128,131,360.74
  5. Step 5: Solve for x
    x = 501,128,131,360.74/819,793
  6. Step 6: Final answer
    x = 611,286.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.