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Finding the Fourth Proportional to 512,846.32, 707,692.52 and 283,401.44

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Solution

The fourth proportional to 512,846.32, 707,692.52 and 283,401.44 is: 391,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,846.32 : 707,692.52 = 283,401.44 : x
  2. Step 2: Convert to fraction form
    512,846.32/707,692.52 = 283,401.44/x
  3. Step 3: Cross multiply
    512,846.32x = 707,692.52 × 283,401.44
  4. Step 4: Simplify right side
    512,846.32x = 200,561,079,245.23
  5. Step 5: Solve for x
    x = 200,561,079,245.23/512,846.32
  6. Step 6: Final answer
    x = 391,074.42

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1.5x scale

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.