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Finding the Fourth Proportional to 309,944.45, 464,424.60 and 204,640.40

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Solution

The fourth proportional to 309,944.45, 464,424.60 and 204,640.40 is: 306,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,944.45 : 464,424.60 = 204,640.40 : x
  2. Step 2: Convert to fraction form
    309,944.45/464,424.60 = 204,640.40/x
  3. Step 3: Cross multiply
    309,944.45x = 464,424.60 × 204,640.40
  4. Step 4: Simplify right side
    309,944.45x = 95,040,035,913.84
  5. Step 5: Solve for x
    x = 95,040,035,913.84/309,944.45
  6. Step 6: Final answer
    x = 306,635.71

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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.