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Finding the Fourth Proportional to 378,177.84, 521,878.44 and 206,097.18

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Solution

The fourth proportional to 378,177.84, 521,878.44 and 206,097.18 is: 284,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,177.84 : 521,878.44 = 206,097.18 : x
  2. Step 2: Convert to fraction form
    378,177.84/521,878.44 = 206,097.18/x
  3. Step 3: Cross multiply
    378,177.84x = 521,878.44 × 206,097.18
  4. Step 4: Simplify right side
    378,177.84x = 107,557,674,786.80
  5. Step 5: Solve for x
    x = 107,557,674,786.80/378,177.84
  6. Step 6: Final answer
    x = 284,410.30

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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.