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Finding the Fourth Proportional to 379,009.52, 523,029.92 and 209,240

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Solution

The fourth proportional to 379,009.52, 523,029.92 and 209,240 is: 288,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,009.52 : 523,029.92 = 209,240 : x
  2. Step 2: Convert to fraction form
    379,009.52/523,029.92 = 209,240/x
  3. Step 3: Cross multiply
    379,009.52x = 523,029.92 × 209,240
  4. Step 4: Simplify right side
    379,009.52x = 109,438,780,460.80
  5. Step 5: Solve for x
    x = 109,438,780,460.80/379,009.52
  6. Step 6: Final answer
    x = 288,749.42

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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.