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Finding the Fourth Proportional to 255,748.56, 383,609.22 and 78,255.70

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Solution

The fourth proportional to 255,748.56, 383,609.22 and 78,255.70 is: 117,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,748.56 : 383,609.22 = 78,255.70 : x
  2. Step 2: Convert to fraction form
    255,748.56/383,609.22 = 78,255.70/x
  3. Step 3: Cross multiply
    255,748.56x = 383,609.22 × 78,255.70
  4. Step 4: Simplify right side
    255,748.56x = 30,019,608,037.55
  5. Step 5: Solve for x
    x = 30,019,608,037.55/255,748.56
  6. Step 6: Final answer
    x = 117,379.38

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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.