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Finding the Fourth Proportional to 271,619.80, 407,429.70 and 197,891.80

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Solution

The fourth proportional to 271,619.80, 407,429.70 and 197,891.80 is: 296,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,619.80 : 407,429.70 = 197,891.80 : x
  2. Step 2: Convert to fraction form
    271,619.80/407,429.70 = 197,891.80/x
  3. Step 3: Cross multiply
    271,619.80x = 407,429.70 × 197,891.80
  4. Step 4: Simplify right side
    271,619.80x = 80,626,996,706.46
  5. Step 5: Solve for x
    x = 80,626,996,706.46/271,619.80
  6. Step 6: Final answer
    x = 296,837.70

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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.