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Finding the Fourth Proportional to 408,688.82, 563,993.31 and 227,408.39

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Solution

The fourth proportional to 408,688.82, 563,993.31 and 227,408.39 is: 313,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,688.82 : 563,993.31 = 227,408.39 : x
  2. Step 2: Convert to fraction form
    408,688.82/563,993.31 = 227,408.39/x
  3. Step 3: Cross multiply
    408,688.82x = 563,993.31 × 227,408.39
  4. Step 4: Simplify right side
    408,688.82x = 128,256,807,777.90
  5. Step 5: Solve for x
    x = 128,256,807,777.90/408,688.82
  6. Step 6: Final answer
    x = 313,825.10

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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.