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Finding the Fourth Proportional to 414,063.22, 621,094.91 and 129,753.71

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Solution

The fourth proportional to 414,063.22, 621,094.91 and 129,753.71 is: 194,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,063.22 : 621,094.91 = 129,753.71 : x
  2. Step 2: Convert to fraction form
    414,063.22/621,094.91 = 129,753.71/x
  3. Step 3: Cross multiply
    414,063.22x = 621,094.91 × 129,753.71
  4. Step 4: Simplify right side
    414,063.22x = 80,589,368,834.62
  5. Step 5: Solve for x
    x = 80,589,368,834.62/414,063.22
  6. Step 6: Final answer
    x = 194,630.59

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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.