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Finding the Fourth Proportional to 311,181, 429,404.25 and 175,171.47

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Solution

The fourth proportional to 311,181, 429,404.25 and 175,171.47 is: 241,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,181 : 429,404.25 = 175,171.47 : x
  2. Step 2: Convert to fraction form
    311,181/429,404.25 = 175,171.47/x
  3. Step 3: Cross multiply
    311,181x = 429,404.25 × 175,171.47
  4. Step 4: Simplify right side
    311,181x = 75,219,373,696.75
  5. Step 5: Solve for x
    x = 75,219,373,696.75/311,181
  6. Step 6: Final answer
    x = 241,722.26

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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.