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Finding the Fourth Proportional to 378,145.24, 567,217.86 and 259,456.74

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Solution

The fourth proportional to 378,145.24, 567,217.86 and 259,456.74 is: 389,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,145.24 : 567,217.86 = 259,456.74 : x
  2. Step 2: Convert to fraction form
    378,145.24/567,217.86 = 259,456.74/x
  3. Step 3: Cross multiply
    378,145.24x = 567,217.86 × 259,456.74
  4. Step 4: Simplify right side
    378,145.24x = 147,168,496,825.38
  5. Step 5: Solve for x
    x = 147,168,496,825.38/378,145.24
  6. Step 6: Final answer
    x = 389,185.11

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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.