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Finding the Fourth Proportional to 256,463.70, 384,004.35 and 185,961.30

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Solution

The fourth proportional to 256,463.70, 384,004.35 and 185,961.30 is: 278,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,463.70 : 384,004.35 = 185,961.30 : x
  2. Step 2: Convert to fraction form
    256,463.70/384,004.35 = 185,961.30/x
  3. Step 3: Cross multiply
    256,463.70x = 384,004.35 × 185,961.30
  4. Step 4: Simplify right side
    256,463.70x = 71,409,948,131.66
  5. Step 5: Solve for x
    x = 71,409,948,131.66/256,463.70
  6. Step 6: Final answer
    x = 278,440.76

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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.