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Finding the Fourth Proportional to 971,406, 1,340,540.28 and 568,998

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Solution

The fourth proportional to 971,406, 1,340,540.28 and 568,998 is: 785,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,406 : 1,340,540.28 = 568,998 : x
  2. Step 2: Convert to fraction form
    971,406/1,340,540.28 = 568,998/x
  3. Step 3: Cross multiply
    971,406x = 1,340,540.28 × 568,998
  4. Step 4: Simplify right side
    971,406x = 762,764,738,239.44
  5. Step 5: Solve for x
    x = 762,764,738,239.44/971,406
  6. Step 6: Final answer
    x = 785,217.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.