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Finding the Fourth Proportional to 378,693, 568,043.82 and 98,193.24

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Solution

The fourth proportional to 378,693, 568,043.82 and 98,193.24 is: 147,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,693 : 568,043.82 = 98,193.24 : x
  2. Step 2: Convert to fraction form
    378,693/568,043.82 = 98,193.24/x
  3. Step 3: Cross multiply
    378,693x = 568,043.82 × 98,193.24
  4. Step 4: Simplify right side
    378,693x = 55,778,063,147.78
  5. Step 5: Solve for x
    x = 55,778,063,147.78/378,693
  6. Step 6: Final answer
    x = 147,290.98

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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.