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Finding the Fourth Proportional to 311,137.62, 429,377.40 and 175,176.06

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Solution

The fourth proportional to 311,137.62, 429,377.40 and 175,176.06 is: 241,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,137.62 : 429,377.40 = 175,176.06 : x
  2. Step 2: Convert to fraction form
    311,137.62/429,377.40 = 175,176.06/x
  3. Step 3: Cross multiply
    311,137.62x = 429,377.40 × 175,176.06
  4. Step 4: Simplify right side
    311,137.62x = 75,216,641,185.04
  5. Step 5: Solve for x
    x = 75,216,641,185.04/311,137.62
  6. Step 6: Final answer
    x = 241,747.18

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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.