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Finding the Fourth Proportional to 255,366, 383,049 and 80,262

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Solution

The fourth proportional to 255,366, 383,049 and 80,262 is: 120,393

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,366 : 383,049 = 80,262 : x
  2. Step 2: Convert to fraction form
    255,366/383,049 = 80,262/x
  3. Step 3: Cross multiply
    255,366x = 383,049 × 80,262
  4. Step 4: Simplify right side
    255,366x = 30,744,278,838
  5. Step 5: Solve for x
    x = 30,744,278,838/255,366
  6. Step 6: Final answer
    x = 120,393

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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.