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Finding the Fourth Proportional to 254,479.28, 381,660.58 and 114,278

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Solution

The fourth proportional to 254,479.28, 381,660.58 and 114,278 is: 171,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,479.28 : 381,660.58 = 114,278 : x
  2. Step 2: Convert to fraction form
    254,479.28/381,660.58 = 114,278/x
  3. Step 3: Cross multiply
    254,479.28x = 381,660.58 × 114,278
  4. Step 4: Simplify right side
    254,479.28x = 43,615,407,761.24
  5. Step 5: Solve for x
    x = 43,615,407,761.24/254,479.28
  6. Step 6: Final answer
    x = 171,390.80

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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.