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Finding the Fourth Proportional to 312,213.96, 468,268.20 and 87,522.84

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Solution

The fourth proportional to 312,213.96, 468,268.20 and 87,522.84 is: 131,269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,213.96 : 468,268.20 = 87,522.84 : x
  2. Step 2: Convert to fraction form
    312,213.96/468,268.20 = 87,522.84/x
  3. Step 3: Cross multiply
    312,213.96x = 468,268.20 × 87,522.84
  4. Step 4: Simplify right side
    312,213.96x = 40,984,162,745.69
  5. Step 5: Solve for x
    x = 40,984,162,745.69/312,213.96
  6. Step 6: Final answer
    x = 131,269.48

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1.5x scale

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.