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Finding the Fourth Proportional to 379,672.52, 523,959 and 209,917.56

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Solution

The fourth proportional to 379,672.52, 523,959 and 209,917.56 is: 289,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,672.52 : 523,959 = 209,917.56 : x
  2. Step 2: Convert to fraction form
    379,672.52/523,959 = 209,917.56/x
  3. Step 3: Cross multiply
    379,672.52x = 523,959 × 209,917.56
  4. Step 4: Simplify right side
    379,672.52x = 109,988,194,820.04
  5. Step 5: Solve for x
    x = 109,988,194,820.04/379,672.52
  6. Step 6: Final answer
    x = 289,692.27

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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.