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Finding the Fourth Proportional to 271,287.40, 406,771.26 and 111,315.64

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Solution

The fourth proportional to 271,287.40, 406,771.26 and 111,315.64 is: 166,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,287.40 : 406,771.26 = 111,315.64 : x
  2. Step 2: Convert to fraction form
    271,287.40/406,771.26 = 111,315.64/x
  3. Step 3: Cross multiply
    271,287.40x = 406,771.26 × 111,315.64
  4. Step 4: Simplify right side
    271,287.40x = 45,280,003,140.51
  5. Step 5: Solve for x
    x = 45,280,003,140.51/271,287.40
  6. Step 6: Final answer
    x = 166,907.87

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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.