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Finding the Fourth Proportional to 378,157.79, 521,851.05 and 206,077.29

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Solution

The fourth proportional to 378,157.79, 521,851.05 and 206,077.29 is: 284,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,157.79 : 521,851.05 = 206,077.29 : x
  2. Step 2: Convert to fraction form
    378,157.79/521,851.05 = 206,077.29/x
  3. Step 3: Cross multiply
    378,157.79x = 521,851.05 × 206,077.29
  4. Step 4: Simplify right side
    378,157.79x = 107,541,650,167.66
  5. Step 5: Solve for x
    x = 107,541,650,167.66/378,157.79
  6. Step 6: Final answer
    x = 284,383.01

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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.