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Finding the Fourth Proportional to 378,440.10, 567,660.15 and 259,751.61

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Solution

The fourth proportional to 378,440.10, 567,660.15 and 259,751.61 is: 389,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,440.10 : 567,660.15 = 259,751.61 : x
  2. Step 2: Convert to fraction form
    378,440.10/567,660.15 = 259,751.61/x
  3. Step 3: Cross multiply
    378,440.10x = 567,660.15 × 259,751.61
  4. Step 4: Simplify right side
    378,440.10x = 147,450,640,924.26
  5. Step 5: Solve for x
    x = 147,450,640,924.26/378,440.10
  6. Step 6: Final answer
    x = 389,627.42

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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.