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Finding the Fourth Proportional to 512,684.65, 769,135.86 and 175,634.76

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Solution

The fourth proportional to 512,684.65, 769,135.86 and 175,634.76 is: 263,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,684.65 : 769,135.86 = 175,634.76 : x
  2. Step 2: Convert to fraction form
    512,684.65/769,135.86 = 175,634.76/x
  3. Step 3: Cross multiply
    512,684.65x = 769,135.86 × 175,634.76
  4. Step 4: Simplify right side
    512,684.65x = 135,086,992,178.49
  5. Step 5: Solve for x
    x = 135,086,992,178.49/512,684.65
  6. Step 6: Final answer
    x = 263,489.44

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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.