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Finding the Fourth Proportional to 255,786.56, 383,712.60 and 137,295.44

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Solution

The fourth proportional to 255,786.56, 383,712.60 and 137,295.44 is: 205,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,786.56 : 383,712.60 = 137,295.44 : x
  2. Step 2: Convert to fraction form
    255,786.56/383,712.60 = 137,295.44/x
  3. Step 3: Cross multiply
    255,786.56x = 383,712.60 × 137,295.44
  4. Step 4: Simplify right side
    255,786.56x = 52,681,990,250.54
  5. Step 5: Solve for x
    x = 52,681,990,250.54/255,786.56
  6. Step 6: Final answer
    x = 205,960.74

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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.