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Finding the Fourth Proportional to 378,086.96, 566,964.84 and 200,553.68

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Solution

The fourth proportional to 378,086.96, 566,964.84 and 200,553.68 is: 300,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,086.96 : 566,964.84 = 200,553.68 : x
  2. Step 2: Convert to fraction form
    378,086.96/566,964.84 = 200,553.68/x
  3. Step 3: Cross multiply
    378,086.96x = 566,964.84 × 200,553.68
  4. Step 4: Simplify right side
    378,086.96x = 113,706,885,092.61
  5. Step 5: Solve for x
    x = 113,706,885,092.61/378,086.96
  6. Step 6: Final answer
    x = 300,742.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.