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Finding the Fourth Proportional to 381,040.86, 571,444.56 and 263,467.74

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Solution

The fourth proportional to 381,040.86, 571,444.56 and 263,467.74 is: 395,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,040.86 : 571,444.56 = 263,467.74 : x
  2. Step 2: Convert to fraction form
    381,040.86/571,444.56 = 263,467.74/x
  3. Step 3: Cross multiply
    381,040.86x = 571,444.56 × 263,467.74
  4. Step 4: Simplify right side
    381,040.86x = 150,557,206,758.49
  5. Step 5: Solve for x
    x = 150,557,206,758.49/381,040.86
  6. Step 6: Final answer
    x = 395,120.90

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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.