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Finding the Fourth Proportional to 512,936.48, 707,830.32 and 283,481.91

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Solution

The fourth proportional to 512,936.48, 707,830.32 and 283,481.91 is: 391,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,936.48 : 707,830.32 = 283,481.91 : x
  2. Step 2: Convert to fraction form
    512,936.48/707,830.32 = 283,481.91/x
  3. Step 3: Cross multiply
    512,936.48x = 707,830.32 × 283,481.91
  4. Step 4: Simplify right side
    512,936.48x = 200,657,092,132.57
  5. Step 5: Solve for x
    x = 200,657,092,132.57/512,936.48
  6. Step 6: Final answer
    x = 391,192.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.