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Finding the Fourth Proportional to 5,613,978.47, 8,417,744.31 and 2,198,265.85

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Solution

The fourth proportional to 5,613,978.47, 8,417,744.31 and 2,198,265.85 is: 3,296,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613,978.47 : 8,417,744.31 = 2,198,265.85 : x
  2. Step 2: Convert to fraction form
    5,613,978.47/8,417,744.31 = 2,198,265.85/x
  3. Step 3: Cross multiply
    5,613,978.47x = 8,417,744.31 × 2,198,265.85
  4. Step 4: Simplify right side
    5,613,978.47x = 18,504,439,808,616.09
  5. Step 5: Solve for x
    x = 18,504,439,808,616.09/5,613,978.47
  6. Step 6: Final answer
    x = 3,296,136.58

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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.