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Finding the Fourth Proportional to 255,344, 383,015.72 and 114,938.56

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Solution

The fourth proportional to 255,344, 383,015.72 and 114,938.56 is: 172,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,344 : 383,015.72 = 114,938.56 : x
  2. Step 2: Convert to fraction form
    255,344/383,015.72 = 114,938.56/x
  3. Step 3: Cross multiply
    255,344x = 383,015.72 × 114,938.56
  4. Step 4: Simplify right side
    255,344x = 44,023,275,314.16
  5. Step 5: Solve for x
    x = 44,023,275,314.16/255,344
  6. Step 6: Final answer
    x = 172,407.71

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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.