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Finding the Fourth Proportional to 254,480.28, 381,662.10 and 114,279

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Solution

The fourth proportional to 254,480.28, 381,662.10 and 114,279 is: 171,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,480.28 : 381,662.10 = 114,279 : x
  2. Step 2: Convert to fraction form
    254,480.28/381,662.10 = 114,279/x
  3. Step 3: Cross multiply
    254,480.28x = 381,662.10 × 114,279
  4. Step 4: Simplify right side
    254,480.28x = 43,615,963,125.90
  5. Step 5: Solve for x
    x = 43,615,963,125.90/254,480.28
  6. Step 6: Final answer
    x = 171,392.31

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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.