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Finding the Fourth Proportional to 256,207.43, 384,103.44 and 106,559.70

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Solution

The fourth proportional to 256,207.43, 384,103.44 and 106,559.70 is: 159,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,207.43 : 384,103.44 = 106,559.70 : x
  2. Step 2: Convert to fraction form
    256,207.43/384,103.44 = 106,559.70/x
  3. Step 3: Cross multiply
    256,207.43x = 384,103.44 × 106,559.70
  4. Step 4: Simplify right side
    256,207.43x = 40,929,947,335.37
  5. Step 5: Solve for x
    x = 40,929,947,335.37/256,207.43
  6. Step 6: Final answer
    x = 159,753.17

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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.