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Finding the Fourth Proportional to 378,227.58, 567,343.20 and 111,993.12

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Solution

The fourth proportional to 378,227.58, 567,343.20 and 111,993.12 is: 167,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,227.58 : 567,343.20 = 111,993.12 : x
  2. Step 2: Convert to fraction form
    378,227.58/567,343.20 = 111,993.12/x
  3. Step 3: Cross multiply
    378,227.58x = 567,343.20 × 111,993.12
  4. Step 4: Simplify right side
    378,227.58x = 63,538,535,078.78
  5. Step 5: Solve for x
    x = 63,538,535,078.78/378,227.58
  6. Step 6: Final answer
    x = 167,990.22

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1.5x scale

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.