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Finding the Fourth Proportional to 311,414.01, 429,751.33 and 168,174.05

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Solution

The fourth proportional to 311,414.01, 429,751.33 and 168,174.05 is: 232,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,414.01 : 429,751.33 = 168,174.05 : x
  2. Step 2: Convert to fraction form
    311,414.01/429,751.33 = 168,174.05/x
  3. Step 3: Cross multiply
    311,414.01x = 429,751.33 × 168,174.05
  4. Step 4: Simplify right side
    311,414.01x = 72,273,019,089.79
  5. Step 5: Solve for x
    x = 72,273,019,089.79/311,414.01
  6. Step 6: Final answer
    x = 232,080.18

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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.