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Finding the Fourth Proportional to 378,833.20, 568,250.64 and 154,034.98

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Solution

The fourth proportional to 378,833.20, 568,250.64 and 154,034.98 is: 231,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,833.20 : 568,250.64 = 154,034.98 : x
  2. Step 2: Convert to fraction form
    378,833.20/568,250.64 = 154,034.98/x
  3. Step 3: Cross multiply
    378,833.20x = 568,250.64 × 154,034.98
  4. Step 4: Simplify right side
    378,833.20x = 87,530,475,967.39
  5. Step 5: Solve for x
    x = 87,530,475,967.39/378,833.20
  6. Step 6: Final answer
    x = 231,052.81

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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.