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Finding the Fourth Proportional to 381,901.09, 527,031.84 and 209,821.27

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Solution

The fourth proportional to 381,901.09, 527,031.84 and 209,821.27 is: 289,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,901.09 : 527,031.84 = 209,821.27 : x
  2. Step 2: Convert to fraction form
    381,901.09/527,031.84 = 209,821.27/x
  3. Step 3: Cross multiply
    381,901.09x = 527,031.84 × 209,821.27
  4. Step 4: Simplify right side
    381,901.09x = 110,582,489,999.24
  5. Step 5: Solve for x
    x = 110,582,489,999.24/381,901.09
  6. Step 6: Final answer
    x = 289,557.93

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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.