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Finding the Fourth Proportional to 378,439.07, 567,658.61 and 259,750.58

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Solution

The fourth proportional to 378,439.07, 567,658.61 and 259,750.58 is: 389,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,439.07 : 567,658.61 = 259,750.58 : x
  2. Step 2: Convert to fraction form
    378,439.07/567,658.61 = 259,750.58/x
  3. Step 3: Cross multiply
    378,439.07x = 567,658.61 × 259,750.58
  4. Step 4: Simplify right side
    378,439.07x = 147,449,653,309.89
  5. Step 5: Solve for x
    x = 147,449,653,309.89/378,439.07
  6. Step 6: Final answer
    x = 389,625.87

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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.