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Finding the Fourth Proportional to 512,267.69, 768,390.77 and 170,735.85

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Solution

The fourth proportional to 512,267.69, 768,390.77 and 170,735.85 is: 256,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,267.69 : 768,390.77 = 170,735.85 : x
  2. Step 2: Convert to fraction form
    512,267.69/768,390.77 = 170,735.85/x
  3. Step 3: Cross multiply
    512,267.69x = 768,390.77 × 170,735.85
  4. Step 4: Simplify right side
    512,267.69x = 131,191,851,674.94
  5. Step 5: Solve for x
    x = 131,191,851,674.94/512,267.69
  6. Step 6: Final answer
    x = 256,100.19

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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.