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Finding the Fourth Proportional to 256,273.76, 384,548.48 and 106,617.28

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Solution

The fourth proportional to 256,273.76, 384,548.48 and 106,617.28 is: 159,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,273.76 : 384,548.48 = 106,617.28 : x
  2. Step 2: Convert to fraction form
    256,273.76/384,548.48 = 106,617.28/x
  3. Step 3: Cross multiply
    256,273.76x = 384,548.48 × 106,617.28
  4. Step 4: Simplify right side
    256,273.76x = 40,999,512,965.73
  5. Step 5: Solve for x
    x = 40,999,512,965.73/256,273.76
  6. Step 6: Final answer
    x = 159,983.27

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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.