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Finding the Fourth Proportional to 2,589,442, 3,884,163 and 816,514

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Solution

The fourth proportional to 2,589,442, 3,884,163 and 816,514 is: 1,224,771

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,442 : 3,884,163 = 816,514 : x
  2. Step 2: Convert to fraction form
    2,589,442/3,884,163 = 816,514/x
  3. Step 3: Cross multiply
    2,589,442x = 3,884,163 × 816,514
  4. Step 4: Simplify right side
    2,589,442x = 3,171,473,467,782
  5. Step 5: Solve for x
    x = 3,171,473,467,782/2,589,442
  6. Step 6: Final answer
    x = 1,224,771

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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.