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Finding the Fourth Proportional to 378,047.86, 521,704.43 and 205,965.28

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Solution

The fourth proportional to 378,047.86, 521,704.43 and 205,965.28 is: 284,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,047.86 : 521,704.43 = 205,965.28 : x
  2. Step 2: Convert to fraction form
    378,047.86/521,704.43 = 205,965.28/x
  3. Step 3: Cross multiply
    378,047.86x = 521,704.43 × 205,965.28
  4. Step 4: Simplify right side
    378,047.86x = 107,452,999,396.86
  5. Step 5: Solve for x
    x = 107,452,999,396.86/378,047.86
  6. Step 6: Final answer
    x = 284,231.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.