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Finding the Fourth Proportional to 311,414.31, 429,751.73 and 168,174.33

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Solution

The fourth proportional to 311,414.31, 429,751.73 and 168,174.33 is: 232,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,414.31 : 429,751.73 = 168,174.33 : x
  2. Step 2: Convert to fraction form
    311,414.31/429,751.73 = 168,174.33/x
  3. Step 3: Cross multiply
    311,414.31x = 429,751.73 × 168,174.33
  4. Step 4: Simplify right side
    311,414.31x = 72,273,209,259.09
  5. Step 5: Solve for x
    x = 72,273,209,259.09/311,414.31
  6. Step 6: Final answer
    x = 232,080.57

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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.