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Finding the Fourth Proportional to 408,398, 563,588.52 and 227,104.88

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Solution

The fourth proportional to 408,398, 563,588.52 and 227,104.88 is: 313,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,398 : 563,588.52 = 227,104.88 : x
  2. Step 2: Convert to fraction form
    408,398/563,588.52 = 227,104.88/x
  3. Step 3: Cross multiply
    408,398x = 563,588.52 × 227,104.88
  4. Step 4: Simplify right side
    408,398x = 127,993,703,203.98
  5. Step 5: Solve for x
    x = 127,993,703,203.98/408,398
  6. Step 6: Final answer
    x = 313,404.33

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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.