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Finding the Fourth Proportional to 378,274.14, 522,002.60 and 206,188.31

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Solution

The fourth proportional to 378,274.14, 522,002.60 and 206,188.31 is: 284,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,274.14 : 522,002.60 = 206,188.31 : x
  2. Step 2: Convert to fraction form
    378,274.14/522,002.60 = 206,188.31/x
  3. Step 3: Cross multiply
    378,274.14x = 522,002.60 × 206,188.31
  4. Step 4: Simplify right side
    378,274.14x = 107,630,832,878.66
  5. Step 5: Solve for x
    x = 107,630,832,878.66/378,274.14
  6. Step 6: Final answer
    x = 284,531.30

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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.