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Finding the Fourth Proportional to 489,083.20, 733,624.80 and 204,724.60

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Solution

The fourth proportional to 489,083.20, 733,624.80 and 204,724.60 is: 307,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,083.20 : 733,624.80 = 204,724.60 : x
  2. Step 2: Convert to fraction form
    489,083.20/733,624.80 = 204,724.60/x
  3. Step 3: Cross multiply
    489,083.20x = 733,624.80 × 204,724.60
  4. Step 4: Simplify right side
    489,083.20x = 150,191,043,730.08
  5. Step 5: Solve for x
    x = 150,191,043,730.08/489,083.20
  6. Step 6: Final answer
    x = 307,086.90

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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.