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Finding the Fourth Proportional to 512,885.87, 707,745.42 and 283,440.41

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Solution

The fourth proportional to 512,885.87, 707,745.42 and 283,440.41 is: 391,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,885.87 : 707,745.42 = 283,440.41 : x
  2. Step 2: Convert to fraction form
    512,885.87/707,745.42 = 283,440.41/x
  3. Step 3: Cross multiply
    512,885.87x = 707,745.42 × 283,440.41
  4. Step 4: Simplify right side
    512,885.87x = 200,603,652,020.42
  5. Step 5: Solve for x
    x = 200,603,652,020.42/512,885.87
  6. Step 6: Final answer
    x = 391,127.27

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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.