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Finding the Fourth Proportional to 271,896.96, 408,156.48 and 256,344.96

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Solution

The fourth proportional to 271,896.96, 408,156.48 and 256,344.96 is: 384,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,896.96 : 408,156.48 = 256,344.96 : x
  2. Step 2: Convert to fraction form
    271,896.96/408,156.48 = 256,344.96/x
  3. Step 3: Cross multiply
    271,896.96x = 408,156.48 × 256,344.96
  4. Step 4: Simplify right side
    271,896.96x = 104,628,856,539.34
  5. Step 5: Solve for x
    x = 104,628,856,539.34/271,896.96
  6. Step 6: Final answer
    x = 384,810.69

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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.