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Finding the Fourth Proportional to 520,288, 717,997.44 and 281,824

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Solution

The fourth proportional to 520,288, 717,997.44 and 281,824 is: 388,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,288 : 717,997.44 = 281,824 : x
  2. Step 2: Convert to fraction form
    520,288/717,997.44 = 281,824/x
  3. Step 3: Cross multiply
    520,288x = 717,997.44 × 281,824
  4. Step 4: Simplify right side
    520,288x = 202,348,910,530.56
  5. Step 5: Solve for x
    x = 202,348,910,530.56/520,288
  6. Step 6: Final answer
    x = 388,917.12

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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.