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Finding the Fourth Proportional to 311,820.96, 467,758.80 and 87,183.84

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Solution

The fourth proportional to 311,820.96, 467,758.80 and 87,183.84 is: 130,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,820.96 : 467,758.80 = 87,183.84 : x
  2. Step 2: Convert to fraction form
    311,820.96/467,758.80 = 87,183.84/x
  3. Step 3: Cross multiply
    311,820.96x = 467,758.80 × 87,183.84
  4. Step 4: Simplify right side
    311,820.96x = 40,781,008,377.79
  5. Step 5: Solve for x
    x = 40,781,008,377.79/311,820.96
  6. Step 6: Final answer
    x = 130,783.41

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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.