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Finding the Fourth Proportional to 408,015.78, 563,042.25 and 226,739.94

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Solution

The fourth proportional to 408,015.78, 563,042.25 and 226,739.94 is: 312,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,015.78 : 563,042.25 = 226,739.94 : x
  2. Step 2: Convert to fraction form
    408,015.78/563,042.25 = 226,739.94/x
  3. Step 3: Cross multiply
    408,015.78x = 563,042.25 × 226,739.94
  4. Step 4: Simplify right side
    408,015.78x = 127,664,165,982.47
  5. Step 5: Solve for x
    x = 127,664,165,982.47/408,015.78
  6. Step 6: Final answer
    x = 312,890.27

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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.