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Finding the Fourth Proportional to 378,740.42, 568,109.96 and 220,858.16

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Solution

The fourth proportional to 378,740.42, 568,109.96 and 220,858.16 is: 331,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,740.42 : 568,109.96 = 220,858.16 : x
  2. Step 2: Convert to fraction form
    378,740.42/568,109.96 = 220,858.16/x
  3. Step 3: Cross multiply
    378,740.42x = 568,109.96 × 220,858.16
  4. Step 4: Simplify right side
    378,740.42x = 125,471,720,443.27
  5. Step 5: Solve for x
    x = 125,471,720,443.27/378,740.42
  6. Step 6: Final answer
    x = 331,286.85

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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.