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Finding the Fourth Proportional to 408,505.51, 563,729.50 and 227,213.54

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Solution

The fourth proportional to 408,505.51, 563,729.50 and 227,213.54 is: 313,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,505.51 : 563,729.50 = 227,213.54 : x
  2. Step 2: Convert to fraction form
    408,505.51/563,729.50 = 227,213.54/x
  3. Step 3: Cross multiply
    408,505.51x = 563,729.50 × 227,213.54
  4. Step 4: Simplify right side
    408,505.51x = 128,086,975,297.43
  5. Step 5: Solve for x
    x = 128,086,975,297.43/408,505.51
  6. Step 6: Final answer
    x = 313,550.18

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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.