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Finding the Fourth Proportional to 408,297.38, 563,450.38 and 229,449.38

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Solution

The fourth proportional to 408,297.38, 563,450.38 and 229,449.38 is: 316,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,297.38 : 563,450.38 = 229,449.38 : x
  2. Step 2: Convert to fraction form
    408,297.38/563,450.38 = 229,449.38/x
  3. Step 3: Cross multiply
    408,297.38x = 563,450.38 × 229,449.38
  4. Step 4: Simplify right side
    408,297.38x = 129,283,336,960.89
  5. Step 5: Solve for x
    x = 129,283,336,960.89/408,297.38
  6. Step 6: Final answer
    x = 316,640.14

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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.