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Finding the Fourth Proportional to 271,415.40, 407,123.10 and 200,556.60

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Solution

The fourth proportional to 271,415.40, 407,123.10 and 200,556.60 is: 300,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,415.40 : 407,123.10 = 200,556.60 : x
  2. Step 2: Convert to fraction form
    271,415.40/407,123.10 = 200,556.60/x
  3. Step 3: Cross multiply
    271,415.40x = 407,123.10 × 200,556.60
  4. Step 4: Simplify right side
    271,415.40x = 81,651,224,717.46
  5. Step 5: Solve for x
    x = 81,651,224,717.46/271,415.40
  6. Step 6: Final answer
    x = 300,834.90

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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.