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Finding the Fourth Proportional to 311,054.88, 429,269.70 and 175,135.56

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Solution

The fourth proportional to 311,054.88, 429,269.70 and 175,135.56 is: 241,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,054.88 : 429,269.70 = 175,135.56 : x
  2. Step 2: Convert to fraction form
    311,054.88/429,269.70 = 175,135.56/x
  3. Step 3: Cross multiply
    311,054.88x = 429,269.70 × 175,135.56
  4. Step 4: Simplify right side
    311,054.88x = 75,180,389,300.53
  5. Step 5: Solve for x
    x = 75,180,389,300.53/311,054.88
  6. Step 6: Final answer
    x = 241,694.94

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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.