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Finding the Fourth Proportional to 400,716.80, 600,121 and 231,881.20

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Solution

The fourth proportional to 400,716.80, 600,121 and 231,881.20 is: 347,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,716.80 : 600,121 = 231,881.20 : x
  2. Step 2: Convert to fraction form
    400,716.80/600,121 = 231,881.20/x
  3. Step 3: Cross multiply
    400,716.80x = 600,121 × 231,881.20
  4. Step 4: Simplify right side
    400,716.80x = 139,156,777,625.20
  5. Step 5: Solve for x
    x = 139,156,777,625.20/400,716.80
  6. Step 6: Final answer
    x = 347,269.64

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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.