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Finding the Fourth Proportional to 378,238.80, 521,966.21 and 206,156.77

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Solution

The fourth proportional to 378,238.80, 521,966.21 and 206,156.77 is: 284,494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,238.80 : 521,966.21 = 206,156.77 : x
  2. Step 2: Convert to fraction form
    378,238.80/521,966.21 = 206,156.77/x
  3. Step 3: Cross multiply
    378,238.80x = 521,966.21 × 206,156.77
  4. Step 4: Simplify right side
    378,238.80x = 107,606,869,064.43
  5. Step 5: Solve for x
    x = 107,606,869,064.43/378,238.80
  6. Step 6: Final answer
    x = 284,494.53

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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.