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Finding the Fourth Proportional to 381,886.97, 527,004.21 and 209,816.04

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Solution

The fourth proportional to 381,886.97, 527,004.21 and 209,816.04 is: 289,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,886.97 : 527,004.21 = 209,816.04 : x
  2. Step 2: Convert to fraction form
    381,886.97/527,004.21 = 209,816.04/x
  3. Step 3: Cross multiply
    381,886.97x = 527,004.21 × 209,816.04
  4. Step 4: Simplify right side
    381,886.97x = 110,573,936,405.53
  5. Step 5: Solve for x
    x = 110,573,936,405.53/381,886.97
  6. Step 6: Final answer
    x = 289,546.24

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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.