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Finding the Fourth Proportional to 271,467.46, 407,227.11 and 84,428.74

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Solution

The fourth proportional to 271,467.46, 407,227.11 and 84,428.74 is: 126,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,467.46 : 407,227.11 = 84,428.74 : x
  2. Step 2: Convert to fraction form
    271,467.46/407,227.11 = 84,428.74/x
  3. Step 3: Cross multiply
    271,467.46x = 407,227.11 × 84,428.74
  4. Step 4: Simplify right side
    271,467.46x = 34,381,671,791.14
  5. Step 5: Solve for x
    x = 34,381,671,791.14/271,467.46
  6. Step 6: Final answer
    x = 126,651.17

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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.