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Finding the Fourth Proportional to 408,647.11, 563,922.25 and 227,359.39

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Solution

The fourth proportional to 408,647.11, 563,922.25 and 227,359.39 is: 313,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,647.11 : 563,922.25 = 227,359.39 : x
  2. Step 2: Convert to fraction form
    408,647.11/563,922.25 = 227,359.39/x
  3. Step 3: Cross multiply
    408,647.11x = 563,922.25 × 227,359.39
  4. Step 4: Simplify right side
    408,647.11x = 128,213,018,767.43
  5. Step 5: Solve for x
    x = 128,213,018,767.43/408,647.11
  6. Step 6: Final answer
    x = 313,749.97

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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.