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Finding the Fourth Proportional to 408,021.40, 563,058.22 and 226,728.60

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Solution

The fourth proportional to 408,021.40, 563,058.22 and 226,728.60 is: 312,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,021.40 : 563,058.22 = 226,728.60 : x
  2. Step 2: Convert to fraction form
    408,021.40/563,058.22 = 226,728.60/x
  3. Step 3: Cross multiply
    408,021.40x = 563,058.22 × 226,728.60
  4. Step 4: Simplify right side
    408,021.40x = 127,661,401,939.09
  5. Step 5: Solve for x
    x = 127,661,401,939.09/408,021.40
  6. Step 6: Final answer
    x = 312,879.18

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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.