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Finding the Fourth Proportional to 378,172.72, 521,878.44 and 206,090.73

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Solution

The fourth proportional to 378,172.72, 521,878.44 and 206,090.73 is: 284,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,172.72 : 521,878.44 = 206,090.73 : x
  2. Step 2: Convert to fraction form
    378,172.72/521,878.44 = 206,090.73/x
  3. Step 3: Cross multiply
    378,172.72x = 521,878.44 × 206,090.73
  4. Step 4: Simplify right side
    378,172.72x = 107,554,308,670.86
  5. Step 5: Solve for x
    x = 107,554,308,670.86/378,172.72
  6. Step 6: Final answer
    x = 284,405.25

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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.