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Finding the Fourth Proportional to 255,907.28, 383,847.08 and 78,414.81

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Solution

The fourth proportional to 255,907.28, 383,847.08 and 78,414.81 is: 117,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,907.28 : 383,847.08 = 78,414.81 : x
  2. Step 2: Convert to fraction form
    255,907.28/383,847.08 = 78,414.81/x
  3. Step 3: Cross multiply
    255,907.28x = 383,847.08 × 78,414.81
  4. Step 4: Simplify right side
    255,907.28x = 30,099,295,455.18
  5. Step 5: Solve for x
    x = 30,099,295,455.18/255,907.28
  6. Step 6: Final answer
    x = 117,617.97

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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.