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Finding the Fourth Proportional to 228,447.50, 315,213.81 and 147,863.84

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Solution

The fourth proportional to 228,447.50, 315,213.81 and 147,863.84 is: 204,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,447.50 : 315,213.81 = 147,863.84 : x
  2. Step 2: Convert to fraction form
    228,447.50/315,213.81 = 147,863.84/x
  3. Step 3: Cross multiply
    228,447.50x = 315,213.81 × 147,863.84
  4. Step 4: Simplify right side
    228,447.50x = 46,608,724,367.63
  5. Step 5: Solve for x
    x = 46,608,724,367.63/228,447.50
  6. Step 6: Final answer
    x = 204,023.79

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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.