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Finding the Fourth Proportional to 414,205.77, 621,310.17 and 126,020.22

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Solution

The fourth proportional to 414,205.77, 621,310.17 and 126,020.22 is: 189,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,205.77 : 621,310.17 = 126,020.22 : x
  2. Step 2: Convert to fraction form
    414,205.77/621,310.17 = 126,020.22/x
  3. Step 3: Cross multiply
    414,205.77x = 621,310.17 × 126,020.22
  4. Step 4: Simplify right side
    414,205.77x = 78,297,644,311.64
  5. Step 5: Solve for x
    x = 78,297,644,311.64/414,205.77
  6. Step 6: Final answer
    x = 189,030.79

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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.