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Finding the Fourth Proportional to 381,300.80, 525,976.49 and 237,811.73

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Solution

The fourth proportional to 381,300.80, 525,976.49 and 237,811.73 is: 328,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,300.80 : 525,976.49 = 237,811.73 : x
  2. Step 2: Convert to fraction form
    381,300.80/525,976.49 = 237,811.73/x
  3. Step 3: Cross multiply
    381,300.80x = 525,976.49 × 237,811.73
  4. Step 4: Simplify right side
    381,300.80x = 125,083,377,837.17
  5. Step 5: Solve for x
    x = 125,083,377,837.17/381,300.80
  6. Step 6: Final answer
    x = 328,043.84

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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.