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Finding the Fourth Proportional to 429,524.20, 644,426.43 and 204,855.45

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Solution

The fourth proportional to 429,524.20, 644,426.43 and 204,855.45 is: 307,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,524.20 : 644,426.43 = 204,855.45 : x
  2. Step 2: Convert to fraction form
    429,524.20/644,426.43 = 204,855.45/x
  3. Step 3: Cross multiply
    429,524.20x = 644,426.43 × 204,855.45
  4. Step 4: Simplify right side
    429,524.20x = 132,014,266,309.54
  5. Step 5: Solve for x
    x = 132,014,266,309.54/429,524.20
  6. Step 6: Final answer
    x = 307,350.01

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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.