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Finding the Fourth Proportional to 381,510, 572,367.06 and 132,192

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Solution

The fourth proportional to 381,510, 572,367.06 and 132,192 is: 198,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,510 : 572,367.06 = 132,192 : x
  2. Step 2: Convert to fraction form
    381,510/572,367.06 = 132,192/x
  3. Step 3: Cross multiply
    381,510x = 572,367.06 × 132,192
  4. Step 4: Simplify right side
    381,510x = 75,662,346,395.52
  5. Step 5: Solve for x
    x = 75,662,346,395.52/381,510
  6. Step 6: Final answer
    x = 198,323.36

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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.