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Finding the Fourth Proportional to 271,409.40, 407,114.10 and 166,433.40

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Solution

The fourth proportional to 271,409.40, 407,114.10 and 166,433.40 is: 249,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,409.40 : 407,114.10 = 166,433.40 : x
  2. Step 2: Convert to fraction form
    271,409.40/407,114.10 = 166,433.40/x
  3. Step 3: Cross multiply
    271,409.40x = 407,114.10 × 166,433.40
  4. Step 4: Simplify right side
    271,409.40x = 67,757,383,850.94
  5. Step 5: Solve for x
    x = 67,757,383,850.94/271,409.40
  6. Step 6: Final answer
    x = 249,650.10

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1.5x scale

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.