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Finding the Fourth Proportional to 256,467.70, 384,010.35 and 185,965.30

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Solution

The fourth proportional to 256,467.70, 384,010.35 and 185,965.30 is: 278,446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,467.70 : 384,010.35 = 185,965.30 : x
  2. Step 2: Convert to fraction form
    256,467.70/384,010.35 = 185,965.30/x
  3. Step 3: Cross multiply
    256,467.70x = 384,010.35 × 185,965.30
  4. Step 4: Simplify right side
    256,467.70x = 71,412,599,940.86
  5. Step 5: Solve for x
    x = 71,412,599,940.86/256,467.70
  6. Step 6: Final answer
    x = 278,446.76

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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.