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Finding the Fourth Proportional to 521,396.27, 782,390.24 and 281,506.96

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Solution

The fourth proportional to 521,396.27, 782,390.24 and 281,506.96 is: 422,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,396.27 : 782,390.24 = 281,506.96 : x
  2. Step 2: Convert to fraction form
    521,396.27/782,390.24 = 281,506.96/x
  3. Step 3: Cross multiply
    521,396.27x = 782,390.24 × 281,506.96
  4. Step 4: Simplify right side
    521,396.27x = 220,248,297,996.07
  5. Step 5: Solve for x
    x = 220,248,297,996.07/521,396.27
  6. Step 6: Final answer
    x = 422,420.16

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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.