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Finding the Fourth Proportional to 254,380.47, 381,584.75 and 76,883.01

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Solution

The fourth proportional to 254,380.47, 381,584.75 and 76,883.01 is: 115,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,380.47 : 381,584.75 = 76,883.01 : x
  2. Step 2: Convert to fraction form
    254,380.47/381,584.75 = 76,883.01/x
  3. Step 3: Cross multiply
    254,380.47x = 381,584.75 × 76,883.01
  4. Step 4: Simplify right side
    254,380.47x = 29,337,383,765.68
  5. Step 5: Solve for x
    x = 29,337,383,765.68/254,380.47
  6. Step 6: Final answer
    x = 115,328.76

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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.