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Finding the Fourth Proportional to 378,438.38, 567,657.57 and 259,749.89

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Solution

The fourth proportional to 378,438.38, 567,657.57 and 259,749.89 is: 389,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,438.38 : 567,657.57 = 259,749.89 : x
  2. Step 2: Convert to fraction form
    378,438.38/567,657.57 = 259,749.89/x
  3. Step 3: Cross multiply
    378,438.38x = 567,657.57 × 259,749.89
  4. Step 4: Simplify right side
    378,438.38x = 147,448,993,433.69
  5. Step 5: Solve for x
    x = 147,448,993,433.69/378,438.38
  6. Step 6: Final answer
    x = 389,624.84

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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.