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Finding the Fourth Proportional to 408,419.13, 563,608.65 and 222,145.91

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Solution

The fourth proportional to 408,419.13, 563,608.65 and 222,145.91 is: 306,556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,419.13 : 563,608.65 = 222,145.91 : x
  2. Step 2: Convert to fraction form
    408,419.13/563,608.65 = 222,145.91/x
  3. Step 3: Cross multiply
    408,419.13x = 563,608.65 × 222,145.91
  4. Step 4: Simplify right side
    408,419.13x = 125,203,355,317.09
  5. Step 5: Solve for x
    x = 125,203,355,317.09/408,419.13
  6. Step 6: Final answer
    x = 306,556.05

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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.