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Finding the Fourth Proportional to 378,709.68, 568,142.28 and 154,069.56

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Solution

The fourth proportional to 378,709.68, 568,142.28 and 154,069.56 is: 231,135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,709.68 : 568,142.28 = 154,069.56 : x
  2. Step 2: Convert to fraction form
    378,709.68/568,142.28 = 154,069.56/x
  3. Step 3: Cross multiply
    378,709.68x = 568,142.28 × 154,069.56
  4. Step 4: Simplify right side
    378,709.68x = 87,533,431,097.00
  5. Step 5: Solve for x
    x = 87,533,431,097.00/378,709.68
  6. Step 6: Final answer
    x = 231,135.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.