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Finding the Fourth Proportional to 521,836.92, 782,978.18 and 222,458.49

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Solution

The fourth proportional to 521,836.92, 782,978.18 and 222,458.49 is: 333,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,836.92 : 782,978.18 = 222,458.49 : x
  2. Step 2: Convert to fraction form
    521,836.92/782,978.18 = 222,458.49/x
  3. Step 3: Cross multiply
    521,836.92x = 782,978.18 × 222,458.49
  4. Step 4: Simplify right side
    521,836.92x = 174,180,143,625.75
  5. Step 5: Solve for x
    x = 174,180,143,625.75/521,836.92
  6. Step 6: Final answer
    x = 333,782.71

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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.