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Finding the Fourth Proportional to 300,871.28, 415,147.92 and 193,416.68

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Solution

The fourth proportional to 300,871.28, 415,147.92 and 193,416.68 is: 266,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,871.28 : 415,147.92 = 193,416.68 : x
  2. Step 2: Convert to fraction form
    300,871.28/415,147.92 = 193,416.68/x
  3. Step 3: Cross multiply
    300,871.28x = 415,147.92 × 193,416.68
  4. Step 4: Simplify right side
    300,871.28x = 80,296,530,319.57
  5. Step 5: Solve for x
    x = 80,296,530,319.57/300,871.28
  6. Step 6: Final answer
    x = 266,880.01

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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.