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Finding the Fourth Proportional to 381,897.50, 527,018.84 and 209,826.56

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Solution

The fourth proportional to 381,897.50, 527,018.84 and 209,826.56 is: 289,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,897.50 : 527,018.84 = 209,826.56 : x
  2. Step 2: Convert to fraction form
    381,897.50/527,018.84 = 209,826.56/x
  3. Step 3: Cross multiply
    381,897.50x = 527,018.84 × 209,826.56
  4. Step 4: Simplify right side
    381,897.50x = 110,582,546,568.16
  5. Step 5: Solve for x
    x = 110,582,546,568.16/381,897.50
  6. Step 6: Final answer
    x = 289,560.81

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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.