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Finding the Fourth Proportional to 682,107.87, 941,375.40 and 509,726.49

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Solution

The fourth proportional to 682,107.87, 941,375.40 and 509,726.49 is: 703,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,107.87 : 941,375.40 = 509,726.49 : x
  2. Step 2: Convert to fraction form
    682,107.87/941,375.40 = 509,726.49/x
  3. Step 3: Cross multiply
    682,107.87x = 941,375.40 × 509,726.49
  4. Step 4: Simplify right side
    682,107.87x = 479,843,978,414.35
  5. Step 5: Solve for x
    x = 479,843,978,414.35/682,107.87
  6. Step 6: Final answer
    x = 703,472.28

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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.