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Finding the Fourth Proportional to 252,409.43, 378,057.88 and 208,635.33

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Solution

The fourth proportional to 252,409.43, 378,057.88 and 208,635.33 is: 312,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,409.43 : 378,057.88 = 208,635.33 : x
  2. Step 2: Convert to fraction form
    252,409.43/378,057.88 = 208,635.33/x
  3. Step 3: Cross multiply
    252,409.43x = 378,057.88 × 208,635.33
  4. Step 4: Simplify right side
    252,409.43x = 78,876,229,509.72
  5. Step 5: Solve for x
    x = 78,876,229,509.72/252,409.43
  6. Step 6: Final answer
    x = 312,493.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.