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Finding the Fourth Proportional to 323,524.60, 485,724.30 and 205,426.60

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Solution

The fourth proportional to 323,524.60, 485,724.30 and 205,426.60 is: 308,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,524.60 : 485,724.30 = 205,426.60 : x
  2. Step 2: Convert to fraction form
    323,524.60/485,724.30 = 205,426.60/x
  3. Step 3: Cross multiply
    323,524.60x = 485,724.30 × 205,426.60
  4. Step 4: Simplify right side
    323,524.60x = 99,780,691,486.38
  5. Step 5: Solve for x
    x = 99,780,691,486.38/323,524.60
  6. Step 6: Final answer
    x = 308,417.63

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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.