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Finding the Fourth Proportional to 311,597.91, 467,209.89 and 142,906.86

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Solution

The fourth proportional to 311,597.91, 467,209.89 and 142,906.86 is: 214,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,597.91 : 467,209.89 = 142,906.86 : x
  2. Step 2: Convert to fraction form
    311,597.91/467,209.89 = 142,906.86/x
  3. Step 3: Cross multiply
    311,597.91x = 467,209.89 × 142,906.86
  4. Step 4: Simplify right side
    311,597.91x = 66,767,498,340.85
  5. Step 5: Solve for x
    x = 66,767,498,340.85/311,597.91
  6. Step 6: Final answer
    x = 214,274.54

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1.5x scale

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.