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Finding the Fourth Proportional to 208,090.60, 311,675.10 and 171,226.60

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Solution

The fourth proportional to 208,090.60, 311,675.10 and 171,226.60 is: 256,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,090.60 : 311,675.10 = 171,226.60 : x
  2. Step 2: Convert to fraction form
    208,090.60/311,675.10 = 171,226.60/x
  3. Step 3: Cross multiply
    208,090.60x = 311,675.10 × 171,226.60
  4. Step 4: Simplify right side
    208,090.60x = 53,367,067,677.66
  5. Step 5: Solve for x
    x = 53,367,067,677.66/208,090.60
  6. Step 6: Final answer
    x = 256,460.73

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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.