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Finding the Fourth Proportional to 256,786.20, 384,372 and 176,353.20

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Solution

The fourth proportional to 256,786.20, 384,372 and 176,353.20 is: 263,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,786.20 : 384,372 = 176,353.20 : x
  2. Step 2: Convert to fraction form
    256,786.20/384,372 = 176,353.20/x
  3. Step 3: Cross multiply
    256,786.20x = 384,372 × 176,353.20
  4. Step 4: Simplify right side
    256,786.20x = 67,785,232,190.40
  5. Step 5: Solve for x
    x = 67,785,232,190.40/256,786.20
  6. Step 6: Final answer
    x = 263,975.37

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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.