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Finding the Fourth Proportional to 394,043.91, 543,708.36 and 221,925

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Solution

The fourth proportional to 394,043.91, 543,708.36 and 221,925 is: 306,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,043.91 : 543,708.36 = 221,925 : x
  2. Step 2: Convert to fraction form
    394,043.91/543,708.36 = 221,925/x
  3. Step 3: Cross multiply
    394,043.91x = 543,708.36 × 221,925
  4. Step 4: Simplify right side
    394,043.91x = 120,662,477,793
  5. Step 5: Solve for x
    x = 120,662,477,793/394,043.91
  6. Step 6: Final answer
    x = 306,215.82

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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.