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Finding the Fourth Proportional to 378,519.81, 522,357.83 and 206,438.14

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Solution

The fourth proportional to 378,519.81, 522,357.83 and 206,438.14 is: 284,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,519.81 : 522,357.83 = 206,438.14 : x
  2. Step 2: Convert to fraction form
    378,519.81/522,357.83 = 206,438.14/x
  3. Step 3: Cross multiply
    378,519.81x = 522,357.83 × 206,438.14
  4. Step 4: Simplify right side
    378,519.81x = 107,834,578,839.64
  5. Step 5: Solve for x
    x = 107,834,578,839.64/378,519.81
  6. Step 6: Final answer
    x = 284,884.90

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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.