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Finding the Fourth Proportional to 408,719.70, 564,033.18 and 227,443.32

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Solution

The fourth proportional to 408,719.70, 564,033.18 and 227,443.32 is: 313,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,719.70 : 564,033.18 = 227,443.32 : x
  2. Step 2: Convert to fraction form
    408,719.70/564,033.18 = 227,443.32/x
  3. Step 3: Cross multiply
    408,719.70x = 564,033.18 × 227,443.32
  4. Step 4: Simplify right side
    408,719.70x = 128,285,579,049.36
  5. Step 5: Solve for x
    x = 128,285,579,049.36/408,719.70
  6. Step 6: Final answer
    x = 313,871.78

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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.