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Finding the Fourth Proportional to 378,438.89, 567,658.33 and 259,750.40

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Solution

The fourth proportional to 378,438.89, 567,658.33 and 259,750.40 is: 389,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,438.89 : 567,658.33 = 259,750.40 : x
  2. Step 2: Convert to fraction form
    378,438.89/567,658.33 = 259,750.40/x
  3. Step 3: Cross multiply
    378,438.89x = 567,658.33 × 259,750.40
  4. Step 4: Simplify right side
    378,438.89x = 147,449,474,143.79
  5. Step 5: Solve for x
    x = 147,449,474,143.79/378,438.89
  6. Step 6: Final answer
    x = 389,625.59

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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.