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Finding the Fourth Proportional to 408,455.28, 563,625.10 and 227,137.89

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Solution

The fourth proportional to 408,455.28, 563,625.10 and 227,137.89 is: 313,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,455.28 : 563,625.10 = 227,137.89 : x
  2. Step 2: Convert to fraction form
    408,455.28/563,625.10 = 227,137.89/x
  3. Step 3: Cross multiply
    408,455.28x = 563,625.10 × 227,137.89
  4. Step 4: Simplify right side
    408,455.28x = 128,020,615,965.04
  5. Step 5: Solve for x
    x = 128,020,615,965.04/408,455.28
  6. Step 6: Final answer
    x = 313,426.27

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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.