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Finding the Fourth Proportional to 271,881.80, 407,822.70 and 208,823.30

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Solution

The fourth proportional to 271,881.80, 407,822.70 and 208,823.30 is: 313,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,881.80 : 407,822.70 = 208,823.30 : x
  2. Step 2: Convert to fraction form
    271,881.80/407,822.70 = 208,823.30/x
  3. Step 3: Cross multiply
    271,881.80x = 407,822.70 × 208,823.30
  4. Step 4: Simplify right side
    271,881.80x = 85,162,882,028.91
  5. Step 5: Solve for x
    x = 85,162,882,028.91/271,881.80
  6. Step 6: Final answer
    x = 313,234.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.