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Finding the Fourth Proportional to 378,496.80, 522,318.88 and 206,416.05

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Solution

The fourth proportional to 378,496.80, 522,318.88 and 206,416.05 is: 284,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,496.80 : 522,318.88 = 206,416.05 : x
  2. Step 2: Convert to fraction form
    378,496.80/522,318.88 = 206,416.05/x
  3. Step 3: Cross multiply
    378,496.80x = 522,318.88 × 206,416.05
  4. Step 4: Simplify right side
    378,496.80x = 107,814,998,349.35
  5. Step 5: Solve for x
    x = 107,814,998,349.35/378,496.80
  6. Step 6: Final answer
    x = 284,850.49

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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.