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Finding the Fourth Proportional to 312,770.10, 431,668.84 and 198,059.22

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Solution

The fourth proportional to 312,770.10, 431,668.84 and 198,059.22 is: 273,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,770.10 : 431,668.84 = 198,059.22 : x
  2. Step 2: Convert to fraction form
    312,770.10/431,668.84 = 198,059.22/x
  3. Step 3: Cross multiply
    312,770.10x = 431,668.84 × 198,059.22
  4. Step 4: Simplify right side
    312,770.10x = 85,495,993,748.70
  5. Step 5: Solve for x
    x = 85,495,993,748.70/312,770.10
  6. Step 6: Final answer
    x = 273,350.92

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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.