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Finding the Fourth Proportional to 221,978.89, 306,578.15 and 205,182.73

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Solution

The fourth proportional to 221,978.89, 306,578.15 and 205,182.73 is: 283,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,978.89 : 306,578.15 = 205,182.73 : x
  2. Step 2: Convert to fraction form
    221,978.89/306,578.15 = 205,182.73/x
  3. Step 3: Cross multiply
    221,978.89x = 306,578.15 × 205,182.73
  4. Step 4: Simplify right side
    221,978.89x = 62,904,541,775.35
  5. Step 5: Solve for x
    x = 62,904,541,775.35/221,978.89
  6. Step 6: Final answer
    x = 283,380.74

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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.