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Finding the Fourth Proportional to 378,695, 568,046.82 and 98,195.24

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Solution

The fourth proportional to 378,695, 568,046.82 and 98,195.24 is: 147,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,695 : 568,046.82 = 98,195.24 : x
  2. Step 2: Convert to fraction form
    378,695/568,046.82 = 98,195.24/x
  3. Step 3: Cross multiply
    378,695x = 568,046.82 × 98,195.24
  4. Step 4: Simplify right side
    378,695x = 55,779,493,821.14
  5. Step 5: Solve for x
    x = 55,779,493,821.14/378,695
  6. Step 6: Final answer
    x = 147,293.98

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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.