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Finding the Fourth Proportional to 381,628.60, 526,649.82 and 209,554

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Solution

The fourth proportional to 381,628.60, 526,649.82 and 209,554 is: 289,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,628.60 : 526,649.82 = 209,554 : x
  2. Step 2: Convert to fraction form
    381,628.60/526,649.82 = 209,554/x
  3. Step 3: Cross multiply
    381,628.60x = 526,649.82 × 209,554
  4. Step 4: Simplify right side
    381,628.60x = 110,361,576,380.28
  5. Step 5: Solve for x
    x = 110,361,576,380.28/381,628.60
  6. Step 6: Final answer
    x = 289,185.81

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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.