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Finding the Fourth Proportional to 378,964.64, 568,323.81 and 126,177.21

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Solution

The fourth proportional to 378,964.64, 568,323.81 and 126,177.21 is: 189,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,964.64 : 568,323.81 = 126,177.21 : x
  2. Step 2: Convert to fraction form
    378,964.64/568,323.81 = 126,177.21/x
  3. Step 3: Cross multiply
    378,964.64x = 568,323.81 × 126,177.21
  4. Step 4: Simplify right side
    378,964.64x = 71,709,512,722.37
  5. Step 5: Solve for x
    x = 71,709,512,722.37/378,964.64
  6. Step 6: Final answer
    x = 189,224.81

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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.