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Finding the Fourth Proportional to 311,138.92, 466,685.82 and 121,563.64

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Solution

The fourth proportional to 311,138.92, 466,685.82 and 121,563.64 is: 182,336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,138.92 : 466,685.82 = 121,563.64 : x
  2. Step 2: Convert to fraction form
    311,138.92/466,685.82 = 121,563.64/x
  3. Step 3: Cross multiply
    311,138.92x = 466,685.82 × 121,563.64
  4. Step 4: Simplify right side
    311,138.92x = 56,732,027,015.58
  5. Step 5: Solve for x
    x = 56,732,027,015.58/311,138.92
  6. Step 6: Final answer
    x = 182,336.65

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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.