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Finding the Fourth Proportional to 311,267.70, 429,591.16 and 182,245.50

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Solution

The fourth proportional to 311,267.70, 429,591.16 and 182,245.50 is: 251,523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,267.70 : 429,591.16 = 182,245.50 : x
  2. Step 2: Convert to fraction form
    311,267.70/429,591.16 = 182,245.50/x
  3. Step 3: Cross multiply
    311,267.70x = 429,591.16 × 182,245.50
  4. Step 4: Simplify right side
    311,267.70x = 78,291,055,749.78
  5. Step 5: Solve for x
    x = 78,291,055,749.78/311,267.70
  6. Step 6: Final answer
    x = 251,523.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.