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Finding the Fourth Proportional to 381,900.84, 527,031.50 and 209,821.02

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Solution

The fourth proportional to 381,900.84, 527,031.50 and 209,821.02 is: 289,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,900.84 : 527,031.50 = 209,821.02 : x
  2. Step 2: Convert to fraction form
    381,900.84/527,031.50 = 209,821.02/x
  3. Step 3: Cross multiply
    381,900.84x = 527,031.50 × 209,821.02
  4. Step 4: Simplify right side
    381,900.84x = 110,582,285,853.03
  5. Step 5: Solve for x
    x = 110,582,285,853.03/381,900.84
  6. Step 6: Final answer
    x = 289,557.59

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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.