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Finding the Fourth Proportional to 256,512.44, 384,768.66 and 69,523.94

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Solution

The fourth proportional to 256,512.44, 384,768.66 and 69,523.94 is: 104,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,512.44 : 384,768.66 = 69,523.94 : x
  2. Step 2: Convert to fraction form
    256,512.44/384,768.66 = 69,523.94/x
  3. Step 3: Cross multiply
    256,512.44x = 384,768.66 × 69,523.94
  4. Step 4: Simplify right side
    256,512.44x = 26,750,633,231.72
  5. Step 5: Solve for x
    x = 26,750,633,231.72/256,512.44
  6. Step 6: Final answer
    x = 104,285.91

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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.