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Finding the Fourth Proportional to 644,336.04, 966,257.94 and 211,953

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Solution

The fourth proportional to 644,336.04, 966,257.94 and 211,953 is: 317,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,336.04 : 966,257.94 = 211,953 : x
  2. Step 2: Convert to fraction form
    644,336.04/966,257.94 = 211,953/x
  3. Step 3: Cross multiply
    644,336.04x = 966,257.94 × 211,953
  4. Step 4: Simplify right side
    644,336.04x = 204,801,269,156.82
  5. Step 5: Solve for x
    x = 204,801,269,156.82/644,336.04
  6. Step 6: Final answer
    x = 317,848.54

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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.