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Finding the Fourth Proportional to 311,414.43, 429,751.90 and 168,174.46

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Solution

The fourth proportional to 311,414.43, 429,751.90 and 168,174.46 is: 232,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,414.43 : 429,751.90 = 168,174.46 : x
  2. Step 2: Convert to fraction form
    311,414.43/429,751.90 = 168,174.46/x
  3. Step 3: Cross multiply
    311,414.43x = 429,751.90 × 168,174.46
  4. Step 4: Simplify right side
    311,414.43x = 72,273,294,136.91
  5. Step 5: Solve for x
    x = 72,273,294,136.91/311,414.43
  6. Step 6: Final answer
    x = 232,080.75

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1.5x scale

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.