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Finding the Fourth Proportional to 512,391.69, 769,056.30 and 259,846.50

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Solution

The fourth proportional to 512,391.69, 769,056.30 and 259,846.50 is: 390,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,391.69 : 769,056.30 = 259,846.50 : x
  2. Step 2: Convert to fraction form
    512,391.69/769,056.30 = 259,846.50/x
  3. Step 3: Cross multiply
    512,391.69x = 769,056.30 × 259,846.50
  4. Step 4: Simplify right side
    512,391.69x = 199,836,587,857.95
  5. Step 5: Solve for x
    x = 199,836,587,857.95/512,391.69
  6. Step 6: Final answer
    x = 390,007.47

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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.