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Finding the Fourth Proportional to 414,081.91, 621,121.72 and 129,794.05

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Solution

The fourth proportional to 414,081.91, 621,121.72 and 129,794.05 is: 194,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,081.91 : 621,121.72 = 129,794.05 : x
  2. Step 2: Convert to fraction form
    414,081.91/621,121.72 = 129,794.05/x
  3. Step 3: Cross multiply
    414,081.91x = 621,121.72 × 129,794.05
  4. Step 4: Simplify right side
    414,081.91x = 80,617,903,581.77
  5. Step 5: Solve for x
    x = 80,617,903,581.77/414,081.91
  6. Step 6: Final answer
    x = 194,690.72

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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.