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Finding the Fourth Proportional to 255,418.56, 383,138.62 and 75,504.38

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Solution

The fourth proportional to 255,418.56, 383,138.62 and 75,504.38 is: 113,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,418.56 : 383,138.62 = 75,504.38 : x
  2. Step 2: Convert to fraction form
    255,418.56/383,138.62 = 75,504.38/x
  3. Step 3: Cross multiply
    255,418.56x = 383,138.62 × 75,504.38
  4. Step 4: Simplify right side
    255,418.56x = 28,928,643,957.16
  5. Step 5: Solve for x
    x = 28,928,643,957.16/255,418.56
  6. Step 6: Final answer
    x = 113,259.76

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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.