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Finding the Fourth Proportional to 404,870, 558,720.64 and 226,022

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Solution

The fourth proportional to 404,870, 558,720.64 and 226,022 is: 311,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,870 : 558,720.64 = 226,022 : x
  2. Step 2: Convert to fraction form
    404,870/558,720.64 = 226,022/x
  3. Step 3: Cross multiply
    404,870x = 558,720.64 × 226,022
  4. Step 4: Simplify right side
    404,870x = 126,283,156,494.08
  5. Step 5: Solve for x
    x = 126,283,156,494.08/404,870
  6. Step 6: Final answer
    x = 311,910.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.