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Finding the Fourth Proportional to 378,274.62, 522,003.26 and 206,188.80

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Solution

The fourth proportional to 378,274.62, 522,003.26 and 206,188.80 is: 284,531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,274.62 : 522,003.26 = 206,188.80 : x
  2. Step 2: Convert to fraction form
    378,274.62/522,003.26 = 206,188.80/x
  3. Step 3: Cross multiply
    378,274.62x = 522,003.26 × 206,188.80
  4. Step 4: Simplify right side
    378,274.62x = 107,631,224,744.54
  5. Step 5: Solve for x
    x = 107,631,224,744.54/378,274.62
  6. Step 6: Final answer
    x = 284,531.98

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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.