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Finding the Fourth Proportional to 255,914.92, 383,858.53 and 78,422.44

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Solution

The fourth proportional to 255,914.92, 383,858.53 and 78,422.44 is: 117,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,914.92 : 383,858.53 = 78,422.44 : x
  2. Step 2: Convert to fraction form
    255,914.92/383,858.53 = 78,422.44/x
  3. Step 3: Cross multiply
    255,914.92x = 383,858.53 × 78,422.44
  4. Step 4: Simplify right side
    255,914.92x = 30,103,122,537.41
  5. Step 5: Solve for x
    x = 30,103,122,537.41/255,914.92
  6. Step 6: Final answer
    x = 117,629.42

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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.