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Finding the Fourth Proportional to 378,396.12, 522,185.22 and 208,639.56

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Solution

The fourth proportional to 378,396.12, 522,185.22 and 208,639.56 is: 287,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,396.12 : 522,185.22 = 208,639.56 : x
  2. Step 2: Convert to fraction form
    378,396.12/522,185.22 = 208,639.56/x
  3. Step 3: Cross multiply
    378,396.12x = 522,185.22 × 208,639.56
  4. Step 4: Simplify right side
    378,396.12x = 108,948,494,539.30
  5. Step 5: Solve for x
    x = 108,948,494,539.30/378,396.12
  6. Step 6: Final answer
    x = 287,921.81

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1.5x scale

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.