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Finding the Fourth Proportional to 381,149.76, 571,607.52 and 263,576.64

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Solution

The fourth proportional to 381,149.76, 571,607.52 and 263,576.64 is: 395,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,149.76 : 571,607.52 = 263,576.64 : x
  2. Step 2: Convert to fraction form
    381,149.76/571,607.52 = 263,576.64/x
  3. Step 3: Cross multiply
    381,149.76x = 571,607.52 × 263,576.64
  4. Step 4: Simplify right side
    381,149.76x = 150,662,389,520.33
  5. Step 5: Solve for x
    x = 150,662,389,520.33/381,149.76
  6. Step 6: Final answer
    x = 395,283.97

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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.