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Finding the Fourth Proportional to 271,778.88, 407,453.76 and 171,727.92

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Solution

The fourth proportional to 271,778.88, 407,453.76 and 171,727.92 is: 257,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,778.88 : 407,453.76 = 171,727.92 : x
  2. Step 2: Convert to fraction form
    271,778.88/407,453.76 = 171,727.92/x
  3. Step 3: Cross multiply
    271,778.88x = 407,453.76 × 171,727.92
  4. Step 4: Simplify right side
    271,778.88x = 69,971,186,700.98
  5. Step 5: Solve for x
    x = 69,971,186,700.98/271,778.88
  6. Step 6: Final answer
    x = 257,456.31

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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.