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Finding the Fourth Proportional to 378,479.22, 522,297.15 and 206,396.64

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Solution

The fourth proportional to 378,479.22, 522,297.15 and 206,396.64 is: 284,825.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,479.22 : 522,297.15 = 206,396.64 : x
  2. Step 2: Convert to fraction form
    378,479.22/522,297.15 = 206,396.64/x
  3. Step 3: Cross multiply
    378,479.22x = 522,297.15 × 206,396.64
  4. Step 4: Simplify right side
    378,479.22x = 107,800,376,841.58
  5. Step 5: Solve for x
    x = 107,800,376,841.58/378,479.22
  6. Step 6: Final answer
    x = 284,825.09

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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.