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Finding the Fourth Proportional to 512,652.52, 768,542.57 and 313,112.89

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Solution

The fourth proportional to 512,652.52, 768,542.57 and 313,112.89 is: 469,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,652.52 : 768,542.57 = 313,112.89 : x
  2. Step 2: Convert to fraction form
    512,652.52/768,542.57 = 313,112.89/x
  3. Step 3: Cross multiply
    512,652.52x = 768,542.57 × 313,112.89
  4. Step 4: Simplify right side
    512,652.52x = 240,640,585,180.73
  5. Step 5: Solve for x
    x = 240,640,585,180.73/512,652.52
  6. Step 6: Final answer
    x = 469,402.91

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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.