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Finding the Fourth Proportional to 520,200, 717,876 and 281,736

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Solution

The fourth proportional to 520,200, 717,876 and 281,736 is: 388,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,200 : 717,876 = 281,736 : x
  2. Step 2: Convert to fraction form
    520,200/717,876 = 281,736/x
  3. Step 3: Cross multiply
    520,200x = 717,876 × 281,736
  4. Step 4: Simplify right side
    520,200x = 202,251,512,736
  5. Step 5: Solve for x
    x = 202,251,512,736/520,200
  6. Step 6: Final answer
    x = 388,795.68

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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.