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Finding the Fourth Proportional to 414,215.29, 621,321.89 and 114,694.87

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Solution

The fourth proportional to 414,215.29, 621,321.89 and 114,694.87 is: 172,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,215.29 : 621,321.89 = 114,694.87 : x
  2. Step 2: Convert to fraction form
    414,215.29/621,321.89 = 114,694.87/x
  3. Step 3: Cross multiply
    414,215.29x = 621,321.89 × 114,694.87
  4. Step 4: Simplify right side
    414,215.29x = 71,262,433,401.70
  5. Step 5: Solve for x
    x = 71,262,433,401.70/414,215.29
  6. Step 6: Final answer
    x = 172,042.02

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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.