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Finding the Fourth Proportional to 408,504.82, 563,728.56 and 227,212.85

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Solution

The fourth proportional to 408,504.82, 563,728.56 and 227,212.85 is: 313,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,504.82 : 563,728.56 = 227,212.85 : x
  2. Step 2: Convert to fraction form
    408,504.82/563,728.56 = 227,212.85/x
  3. Step 3: Cross multiply
    408,504.82x = 563,728.56 × 227,212.85
  4. Step 4: Simplify right side
    408,504.82x = 128,086,371,408.37
  5. Step 5: Solve for x
    x = 128,086,371,408.37/408,504.82
  6. Step 6: Final answer
    x = 313,549.23

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1.5x scale

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.