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Finding the Fourth Proportional to 311,938.35, 467,907.61 and 87,331.87

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Solution

The fourth proportional to 311,938.35, 467,907.61 and 87,331.87 is: 130,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,938.35 : 467,907.61 = 87,331.87 : x
  2. Step 2: Convert to fraction form
    311,938.35/467,907.61 = 87,331.87/x
  3. Step 3: Cross multiply
    311,938.35x = 467,907.61 × 87,331.87
  4. Step 4: Simplify right side
    311,938.35x = 40,863,246,568.53
  5. Step 5: Solve for x
    x = 40,863,246,568.53/311,938.35
  6. Step 6: Final answer
    x = 130,997.83

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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.