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Finding the Fourth Proportional to 354,542.16, 489,107.30 and 209,249.37

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Solution

The fourth proportional to 354,542.16, 489,107.30 and 209,249.37 is: 288,669.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,542.16 : 489,107.30 = 209,249.37 : x
  2. Step 2: Convert to fraction form
    354,542.16/489,107.30 = 209,249.37/x
  3. Step 3: Cross multiply
    354,542.16x = 489,107.30 × 209,249.37
  4. Step 4: Simplify right side
    354,542.16x = 102,345,396,133.29
  5. Step 5: Solve for x
    x = 102,345,396,133.29/354,542.16
  6. Step 6: Final answer
    x = 288,669.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.