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Finding the Fourth Proportional to 311,956.41, 467,916.14 and 87,311.87

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Solution

The fourth proportional to 311,956.41, 467,916.14 and 87,311.87 is: 130,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,956.41 : 467,916.14 = 87,311.87 : x
  2. Step 2: Convert to fraction form
    311,956.41/467,916.14 = 87,311.87/x
  3. Step 3: Cross multiply
    311,956.41x = 467,916.14 × 87,311.87
  4. Step 4: Simplify right side
    311,956.41x = 40,854,631,065.28
  5. Step 5: Solve for x
    x = 40,854,631,065.28/311,956.41
  6. Step 6: Final answer
    x = 130,962.63

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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.