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Finding the Fourth Proportional to 311,324.08, 467,051.76 and 100,945.64

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Solution

The fourth proportional to 311,324.08, 467,051.76 and 100,945.64 is: 151,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,324.08 : 467,051.76 = 100,945.64 : x
  2. Step 2: Convert to fraction form
    311,324.08/467,051.76 = 100,945.64/x
  3. Step 3: Cross multiply
    311,324.08x = 467,051.76 × 100,945.64
  4. Step 4: Simplify right side
    311,324.08x = 47,146,838,826.33
  5. Step 5: Solve for x
    x = 47,146,838,826.33/311,324.08
  6. Step 6: Final answer
    x = 151,439.74

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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.