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Finding the Fourth Proportional to 378,414.60, 522,188.32 and 208,650.12

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Solution

The fourth proportional to 378,414.60, 522,188.32 and 208,650.12 is: 287,924.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,414.60 : 522,188.32 = 208,650.12 : x
  2. Step 2: Convert to fraction form
    378,414.60/522,188.32 = 208,650.12/x
  3. Step 3: Cross multiply
    378,414.60x = 522,188.32 × 208,650.12
  4. Step 4: Simplify right side
    378,414.60x = 108,954,655,630.60
  5. Step 5: Solve for x
    x = 108,954,655,630.60/378,414.60
  6. Step 6: Final answer
    x = 287,924.03

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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.