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Finding the Fourth Proportional to 271,604.80, 407,245.20 and 166,499.20

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Solution

The fourth proportional to 271,604.80, 407,245.20 and 166,499.20 is: 249,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,604.80 : 407,245.20 = 166,499.20 : x
  2. Step 2: Convert to fraction form
    271,604.80/407,245.20 = 166,499.20/x
  3. Step 3: Cross multiply
    271,604.80x = 407,245.20 × 166,499.20
  4. Step 4: Simplify right side
    271,604.80x = 67,806,000,003.84
  5. Step 5: Solve for x
    x = 67,806,000,003.84/271,604.80
  6. Step 6: Final answer
    x = 249,649.49

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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.