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Finding the Fourth Proportional to 254,481.78, 381,664.35 and 114,280.50

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Solution

The fourth proportional to 254,481.78, 381,664.35 and 114,280.50 is: 171,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,481.78 : 381,664.35 = 114,280.50 : x
  2. Step 2: Convert to fraction form
    254,481.78/381,664.35 = 114,280.50/x
  3. Step 3: Cross multiply
    254,481.78x = 381,664.35 × 114,280.50
  4. Step 4: Simplify right side
    254,481.78x = 43,616,792,750.18
  5. Step 5: Solve for x
    x = 43,616,792,750.18/254,481.78
  6. Step 6: Final answer
    x = 171,394.56

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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.