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Finding the Fourth Proportional to 378,769.92, 522,751.02 and 217,656.37

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Solution

The fourth proportional to 378,769.92, 522,751.02 and 217,656.37 is: 300,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,769.92 : 522,751.02 = 217,656.37 : x
  2. Step 2: Convert to fraction form
    378,769.92/522,751.02 = 217,656.37/x
  3. Step 3: Cross multiply
    378,769.92x = 522,751.02 × 217,656.37
  4. Step 4: Simplify right side
    378,769.92x = 113,780,086,323.75
  5. Step 5: Solve for x
    x = 113,780,086,323.75/378,769.92
  6. Step 6: Final answer
    x = 300,393.67

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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.