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Finding the Fourth Proportional to 408,455.78, 563,625.78 and 227,138.40

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Solution

The fourth proportional to 408,455.78, 563,625.78 and 227,138.40 is: 313,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,455.78 : 563,625.78 = 227,138.40 : x
  2. Step 2: Convert to fraction form
    408,455.78/563,625.78 = 227,138.40/x
  3. Step 3: Cross multiply
    408,455.78x = 563,625.78 × 227,138.40
  4. Step 4: Simplify right side
    408,455.78x = 128,021,057,867.95
  5. Step 5: Solve for x
    x = 128,021,057,867.95/408,455.78
  6. Step 6: Final answer
    x = 313,426.97

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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.