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Finding the Fourth Proportional to 503,396.22, 694,530.42 and 285,568.98

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Solution

The fourth proportional to 503,396.22, 694,530.42 and 285,568.98 is: 393,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,396.22 : 694,530.42 = 285,568.98 : x
  2. Step 2: Convert to fraction form
    503,396.22/694,530.42 = 285,568.98/x
  3. Step 3: Cross multiply
    503,396.22x = 694,530.42 × 285,568.98
  4. Step 4: Simplify right side
    503,396.22x = 198,336,343,618.37
  5. Step 5: Solve for x
    x = 198,336,343,618.37/503,396.22
  6. Step 6: Final answer
    x = 393,996.49

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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.