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Finding the Fourth Proportional to 271,332, 406,998.72 and 84,343.68

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Solution

The fourth proportional to 271,332, 406,998.72 and 84,343.68 is: 126,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,332 : 406,998.72 = 84,343.68 : x
  2. Step 2: Convert to fraction form
    271,332/406,998.72 = 84,343.68/x
  3. Step 3: Cross multiply
    271,332x = 406,998.72 × 84,343.68
  4. Step 4: Simplify right side
    271,332x = 34,327,769,800.09
  5. Step 5: Solve for x
    x = 34,327,769,800.09/271,332
  6. Step 6: Final answer
    x = 126,515.74

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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.