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Finding the Fourth Proportional to 429,679.56, 644,563.98 and 205,002.12

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Solution

The fourth proportional to 429,679.56, 644,563.98 and 205,002.12 is: 307,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,679.56 : 644,563.98 = 205,002.12 : x
  2. Step 2: Convert to fraction form
    429,679.56/644,563.98 = 205,002.12/x
  3. Step 3: Cross multiply
    429,679.56x = 644,563.98 × 205,002.12
  4. Step 4: Simplify right side
    429,679.56x = 132,136,982,375.64
  5. Step 5: Solve for x
    x = 132,136,982,375.64/429,679.56
  6. Step 6: Final answer
    x = 307,524.48

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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.