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Finding the Fourth Proportional to 512,468.33, 768,623.70 and 170,917.76

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Solution

The fourth proportional to 512,468.33, 768,623.70 and 170,917.76 is: 256,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,468.33 : 768,623.70 = 170,917.76 : x
  2. Step 2: Convert to fraction form
    512,468.33/768,623.70 = 170,917.76/x
  3. Step 3: Cross multiply
    512,468.33x = 768,623.70 × 170,917.76
  4. Step 4: Simplify right side
    512,468.33x = 131,371,443,008.47
  5. Step 5: Solve for x
    x = 131,371,443,008.47/512,468.33
  6. Step 6: Final answer
    x = 256,350.36

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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.