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Finding the Fourth Proportional to 378,517.02, 522,353.96 and 206,435.26

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Solution

The fourth proportional to 378,517.02, 522,353.96 and 206,435.26 is: 284,880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,517.02 : 522,353.96 = 206,435.26 : x
  2. Step 2: Convert to fraction form
    378,517.02/522,353.96 = 206,435.26/x
  3. Step 3: Cross multiply
    378,517.02x = 522,353.96 × 206,435.26
  4. Step 4: Simplify right side
    378,517.02x = 107,832,275,544.63
  5. Step 5: Solve for x
    x = 107,832,275,544.63/378,517.02
  6. Step 6: Final answer
    x = 284,880.92

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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.