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Finding the Fourth Proportional to 271,146, 406,778.56 and 111,222.88

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Solution

The fourth proportional to 271,146, 406,778.56 and 111,222.88 is: 166,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,146 : 406,778.56 = 111,222.88 : x
  2. Step 2: Convert to fraction form
    271,146/406,778.56 = 111,222.88/x
  3. Step 3: Cross multiply
    271,146x = 406,778.56 × 111,222.88
  4. Step 4: Simplify right side
    271,146x = 45,243,082,965.45
  5. Step 5: Solve for x
    x = 45,243,082,965.45/271,146
  6. Step 6: Final answer
    x = 166,858.75

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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.