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Finding the Fourth Proportional to 228,314.49, 315,162.31 and 204,399.60

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Solution

The fourth proportional to 228,314.49, 315,162.31 and 204,399.60 is: 282,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,314.49 : 315,162.31 = 204,399.60 : x
  2. Step 2: Convert to fraction form
    228,314.49/315,162.31 = 204,399.60/x
  3. Step 3: Cross multiply
    228,314.49x = 315,162.31 × 204,399.60
  4. Step 4: Simplify right side
    228,314.49x = 64,419,050,099.08
  5. Step 5: Solve for x
    x = 64,419,050,099.08/228,314.49
  6. Step 6: Final answer
    x = 282,150.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.