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Finding the Fourth Proportional to 271,810.20, 407,715.30 and 229,819.80

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Solution

The fourth proportional to 271,810.20, 407,715.30 and 229,819.80 is: 344,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,810.20 : 407,715.30 = 229,819.80 : x
  2. Step 2: Convert to fraction form
    271,810.20/407,715.30 = 229,819.80/x
  3. Step 3: Cross multiply
    271,810.20x = 407,715.30 × 229,819.80
  4. Step 4: Simplify right side
    271,810.20x = 93,701,048,702.94
  5. Step 5: Solve for x
    x = 93,701,048,702.94/271,810.20
  6. Step 6: Final answer
    x = 344,729.70

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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.