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Finding the Fourth Proportional to 311,057.88, 429,273.84 and 175,138.56

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Solution

The fourth proportional to 311,057.88, 429,273.84 and 175,138.56 is: 241,699.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,057.88 : 429,273.84 = 175,138.56 : x
  2. Step 2: Convert to fraction form
    311,057.88/429,273.84 = 175,138.56/x
  3. Step 3: Cross multiply
    311,057.88x = 429,273.84 × 175,138.56
  4. Step 4: Simplify right side
    311,057.88x = 75,182,402,183.27
  5. Step 5: Solve for x
    x = 75,182,402,183.27/311,057.88
  6. Step 6: Final answer
    x = 241,699.08

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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.