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Finding the Fourth Proportional to 378,420.27, 566,497 and 364,961.92

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Solution

The fourth proportional to 378,420.27, 566,497 and 364,961.92 is: 546,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,420.27 : 566,497 = 364,961.92 : x
  2. Step 2: Convert to fraction form
    378,420.27/566,497 = 364,961.92/x
  3. Step 3: Cross multiply
    378,420.27x = 566,497 × 364,961.92
  4. Step 4: Simplify right side
    378,420.27x = 206,749,832,794.24
  5. Step 5: Solve for x
    x = 206,749,832,794.24/378,420.27
  6. Step 6: Final answer
    x = 546,349.78

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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.