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Finding the Fourth Proportional to 414,336.87, 621,324.16 and 209,045.27

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Solution

The fourth proportional to 414,336.87, 621,324.16 and 209,045.27 is: 313,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,336.87 : 621,324.16 = 209,045.27 : x
  2. Step 2: Convert to fraction form
    414,336.87/621,324.16 = 209,045.27/x
  3. Step 3: Cross multiply
    414,336.87x = 621,324.16 × 209,045.27
  4. Step 4: Simplify right side
    414,336.87x = 129,884,876,784.72
  5. Step 5: Solve for x
    x = 129,884,876,784.72/414,336.87
  6. Step 6: Final answer
    x = 313,476.51

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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.