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Finding the Fourth Proportional to 271,988.87, 407,982.78 and 72,309.22

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Solution

The fourth proportional to 271,988.87, 407,982.78 and 72,309.22 is: 108,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,988.87 : 407,982.78 = 72,309.22 : x
  2. Step 2: Convert to fraction form
    271,988.87/407,982.78 = 72,309.22/x
  3. Step 3: Cross multiply
    271,988.87x = 407,982.78 × 72,309.22
  4. Step 4: Simplify right side
    271,988.87x = 29,500,915,575.27
  5. Step 5: Solve for x
    x = 29,500,915,575.27/271,988.87
  6. Step 6: Final answer
    x = 108,463.69

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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.