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Finding the Fourth Proportional to 812,717, 1,218,978.44 and 213,724.82

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Solution

The fourth proportional to 812,717, 1,218,978.44 and 213,724.82 is: 320,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,717 : 1,218,978.44 = 213,724.82 : x
  2. Step 2: Convert to fraction form
    812,717/1,218,978.44 = 213,724.82/x
  3. Step 3: Cross multiply
    812,717x = 1,218,978.44 × 213,724.82
  4. Step 4: Simplify right side
    812,717x = 260,525,947,672.88
  5. Step 5: Solve for x
    x = 260,525,947,672.88/812,717
  6. Step 6: Final answer
    x = 320,561.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.