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Finding the Fourth Proportional to 512,545.53, 768,839.31 and 175,817.75

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Solution

The fourth proportional to 512,545.53, 768,839.31 and 175,817.75 is: 263,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,545.53 : 768,839.31 = 175,817.75 : x
  2. Step 2: Convert to fraction form
    512,545.53/768,839.31 = 175,817.75/x
  3. Step 3: Cross multiply
    512,545.53x = 768,839.31 × 175,817.75
  4. Step 4: Simplify right side
    512,545.53x = 135,175,597,595.75
  5. Step 5: Solve for x
    x = 135,175,597,595.75/512,545.53
  6. Step 6: Final answer
    x = 263,733.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.