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Finding the Fourth Proportional to 408,145.30, 563,216.40 and 226,851

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Solution

The fourth proportional to 408,145.30, 563,216.40 and 226,851 is: 313,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,145.30 : 563,216.40 = 226,851 : x
  2. Step 2: Convert to fraction form
    408,145.30/563,216.40 = 226,851/x
  3. Step 3: Cross multiply
    408,145.30x = 563,216.40 × 226,851
  4. Step 4: Simplify right side
    408,145.30x = 127,766,203,556.40
  5. Step 5: Solve for x
    x = 127,766,203,556.40/408,145.30
  6. Step 6: Final answer
    x = 313,040.98

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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.