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Finding the Fourth Proportional to 378,441.07, 567,661.60 and 259,752.58

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Solution

The fourth proportional to 378,441.07, 567,661.60 and 259,752.58 is: 389,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,441.07 : 567,661.60 = 259,752.58 : x
  2. Step 2: Convert to fraction form
    378,441.07/567,661.60 = 259,752.58/x
  3. Step 3: Cross multiply
    378,441.07x = 567,661.60 × 259,752.58
  4. Step 4: Simplify right side
    378,441.07x = 147,451,565,166.93
  5. Step 5: Solve for x
    x = 147,451,565,166.93/378,441.07
  6. Step 6: Final answer
    x = 389,628.87

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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.