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Finding the Fourth Proportional to 399,067.23, 550,724.39 and 217,790.82

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Solution

The fourth proportional to 399,067.23, 550,724.39 and 217,790.82 is: 300,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,067.23 : 550,724.39 = 217,790.82 : x
  2. Step 2: Convert to fraction form
    399,067.23/550,724.39 = 217,790.82/x
  3. Step 3: Cross multiply
    399,067.23x = 550,724.39 × 217,790.82
  4. Step 4: Simplify right side
    399,067.23x = 119,942,715,403.15
  5. Step 5: Solve for x
    x = 119,942,715,403.15/399,067.23
  6. Step 6: Final answer
    x = 300,557.67

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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.