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Finding the Fourth Proportional to 378,843.74, 522,815.21 and 206,772.67

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Solution

The fourth proportional to 378,843.74, 522,815.21 and 206,772.67 is: 285,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,843.74 : 522,815.21 = 206,772.67 : x
  2. Step 2: Convert to fraction form
    378,843.74/522,815.21 = 206,772.67/x
  3. Step 3: Cross multiply
    378,843.74x = 522,815.21 × 206,772.67
  4. Step 4: Simplify right side
    378,843.74x = 108,103,896,888.31
  5. Step 5: Solve for x
    x = 108,103,896,888.31/378,843.74
  6. Step 6: Final answer
    x = 285,352.21

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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.