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Finding the Fourth Proportional to 394,165.25, 543,948.05 and 215,317.25

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Solution

The fourth proportional to 394,165.25, 543,948.05 and 215,317.25 is: 297,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,165.25 : 543,948.05 = 215,317.25 : x
  2. Step 2: Convert to fraction form
    394,165.25/543,948.05 = 215,317.25/x
  3. Step 3: Cross multiply
    394,165.25x = 543,948.05 × 215,317.25
  4. Step 4: Simplify right side
    394,165.25x = 117,121,398,268.86
  5. Step 5: Solve for x
    x = 117,121,398,268.86/394,165.25
  6. Step 6: Final answer
    x = 297,137.81

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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.