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Finding the Fourth Proportional to 400,727.84, 600,137.69 and 231,892.25

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Solution

The fourth proportional to 400,727.84, 600,137.69 and 231,892.25 is: 347,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,727.84 : 600,137.69 = 231,892.25 : x
  2. Step 2: Convert to fraction form
    400,727.84/600,137.69 = 231,892.25/x
  3. Step 3: Cross multiply
    400,727.84x = 600,137.69 × 231,892.25
  4. Step 4: Simplify right side
    400,727.84x = 139,167,275,083.75
  5. Step 5: Solve for x
    x = 139,167,275,083.75/400,727.84
  6. Step 6: Final answer
    x = 347,286.27

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1.5x scale

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.