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Finding the Fourth Proportional to 256,228.20, 384,342.30 and 177,496.20

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Solution

The fourth proportional to 256,228.20, 384,342.30 and 177,496.20 is: 266,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,228.20 : 384,342.30 = 177,496.20 : x
  2. Step 2: Convert to fraction form
    256,228.20/384,342.30 = 177,496.20/x
  3. Step 3: Cross multiply
    256,228.20x = 384,342.30 × 177,496.20
  4. Step 4: Simplify right side
    256,228.20x = 68,219,297,749.26
  5. Step 5: Solve for x
    x = 68,219,297,749.26/256,228.20
  6. Step 6: Final answer
    x = 266,244.30

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1.5x scale

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.