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Finding the Fourth Proportional to 300,398.87, 414,542.22 and 171,334.43

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Solution

The fourth proportional to 300,398.87, 414,542.22 and 171,334.43 is: 236,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,398.87 : 414,542.22 = 171,334.43 : x
  2. Step 2: Convert to fraction form
    300,398.87/414,542.22 = 171,334.43/x
  3. Step 3: Cross multiply
    300,398.87x = 414,542.22 × 171,334.43
  4. Step 4: Simplify right side
    300,398.87x = 71,025,354,974.63
  5. Step 5: Solve for x
    x = 71,025,354,974.63/300,398.87
  6. Step 6: Final answer
    x = 236,436.82

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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.