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Finding the Fourth Proportional to 378,172.44, 521,878.05 and 206,090.45

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Solution

The fourth proportional to 378,172.44, 521,878.05 and 206,090.45 is: 284,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,172.44 : 521,878.05 = 206,090.45 : x
  2. Step 2: Convert to fraction form
    378,172.44/521,878.05 = 206,090.45/x
  3. Step 3: Cross multiply
    378,172.44x = 521,878.05 × 206,090.45
  4. Step 4: Simplify right side
    378,172.44x = 107,554,082,169.62
  5. Step 5: Solve for x
    x = 107,554,082,169.62/378,172.44
  6. Step 6: Final answer
    x = 284,404.87

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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.