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Finding the Fourth Proportional to 378,408.64, 522,194.16 and 208,639.84

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Solution

The fourth proportional to 378,408.64, 522,194.16 and 208,639.84 is: 287,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,408.64 : 522,194.16 = 208,639.84 : x
  2. Step 2: Convert to fraction form
    378,408.64/522,194.16 = 208,639.84/x
  3. Step 3: Cross multiply
    378,408.64x = 522,194.16 × 208,639.84
  4. Step 4: Simplify right side
    378,408.64x = 108,950,505,991.33
  5. Step 5: Solve for x
    x = 108,950,505,991.33/378,408.64
  6. Step 6: Final answer
    x = 287,917.60

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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.