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Finding the Fourth Proportional to 411,489.26, 617,171.54 and 111,993.18

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Solution

The fourth proportional to 411,489.26, 617,171.54 and 111,993.18 is: 167,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,489.26 : 617,171.54 = 111,993.18 : x
  2. Step 2: Convert to fraction form
    411,489.26/617,171.54 = 111,993.18/x
  3. Step 3: Cross multiply
    411,489.26x = 617,171.54 × 111,993.18
  4. Step 4: Simplify right side
    411,489.26x = 69,119,003,967.33
  5. Step 5: Solve for x
    x = 69,119,003,967.33/411,489.26
  6. Step 6: Final answer
    x = 167,972.80

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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.