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Finding the Fourth Proportional to 378,741.56, 568,111.62 and 220,859.30

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Solution

The fourth proportional to 378,741.56, 568,111.62 and 220,859.30 is: 331,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,741.56 : 568,111.62 = 220,859.30 : x
  2. Step 2: Convert to fraction form
    378,741.56/568,111.62 = 220,859.30/x
  3. Step 3: Cross multiply
    378,741.56x = 568,111.62 × 220,859.30
  4. Step 4: Simplify right side
    378,741.56x = 125,472,734,715.07
  5. Step 5: Solve for x
    x = 125,472,734,715.07/378,741.56
  6. Step 6: Final answer
    x = 331,288.53

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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.