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Finding the Fourth Proportional to 271,886.20, 407,829.30 and 267,220.60

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Solution

The fourth proportional to 271,886.20, 407,829.30 and 267,220.60 is: 400,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,886.20 : 407,829.30 = 267,220.60 : x
  2. Step 2: Convert to fraction form
    271,886.20/407,829.30 = 267,220.60/x
  3. Step 3: Cross multiply
    271,886.20x = 407,829.30 × 267,220.60
  4. Step 4: Simplify right side
    271,886.20x = 108,980,390,243.58
  5. Step 5: Solve for x
    x = 108,980,390,243.58/271,886.20
  6. Step 6: Final answer
    x = 400,830.90

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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.