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Finding the Fourth Proportional to 2,589,446, 3,884,169 and 816,518

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Solution

The fourth proportional to 2,589,446, 3,884,169 and 816,518 is: 1,224,777

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,446 : 3,884,169 = 816,518 : x
  2. Step 2: Convert to fraction form
    2,589,446/3,884,169 = 816,518/x
  3. Step 3: Cross multiply
    2,589,446x = 3,884,169 × 816,518
  4. Step 4: Simplify right side
    2,589,446x = 3,171,493,903,542
  5. Step 5: Solve for x
    x = 3,171,493,903,542/2,589,446
  6. Step 6: Final answer
    x = 1,224,777

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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.