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Finding the Fourth Proportional to 271,478.22, 407,270.34 and 81,953.94

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Solution

The fourth proportional to 271,478.22, 407,270.34 and 81,953.94 is: 122,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,478.22 : 407,270.34 = 81,953.94 : x
  2. Step 2: Convert to fraction form
    271,478.22/407,270.34 = 81,953.94/x
  3. Step 3: Cross multiply
    271,478.22x = 407,270.34 × 81,953.94
  4. Step 4: Simplify right side
    271,478.22x = 33,377,409,008.14
  5. Step 5: Solve for x
    x = 33,377,409,008.14/271,478.22
  6. Step 6: Final answer
    x = 122,946.91

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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.