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Finding the Fourth Proportional to 3,899,369.68, 5,369,167.56 and 3,413,214.16

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Solution

The fourth proportional to 3,899,369.68, 5,369,167.56 and 3,413,214.16 is: 4,699,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899,369.68 : 5,369,167.56 = 3,413,214.16 : x
  2. Step 2: Convert to fraction form
    3,899,369.68/5,369,167.56 = 3,413,214.16/x
  3. Step 3: Cross multiply
    3,899,369.68x = 5,369,167.56 × 3,413,214.16
  4. Step 4: Simplify right side
    3,899,369.68x = 18,326,118,743,204.65
  5. Step 5: Solve for x
    x = 18,326,118,743,204.65/3,899,369.68
  6. Step 6: Final answer
    x = 4,699,764.38

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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.