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Finding the Fourth Proportional to 379,010.52, 523,031.30 and 209,241

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Solution

The fourth proportional to 379,010.52, 523,031.30 and 209,241 is: 288,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,010.52 : 523,031.30 = 209,241 : x
  2. Step 2: Convert to fraction form
    379,010.52/523,031.30 = 209,241/x
  3. Step 3: Cross multiply
    379,010.52x = 523,031.30 × 209,241
  4. Step 4: Simplify right side
    379,010.52x = 109,439,592,243.30
  5. Step 5: Solve for x
    x = 109,439,592,243.30/379,010.52
  6. Step 6: Final answer
    x = 288,750.80

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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.