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Finding the Fourth Proportional to 343,691.40, 515,998.80 and 201,682.20

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Solution

The fourth proportional to 343,691.40, 515,998.80 and 201,682.20 is: 302,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,691.40 : 515,998.80 = 201,682.20 : x
  2. Step 2: Convert to fraction form
    343,691.40/515,998.80 = 201,682.20/x
  3. Step 3: Cross multiply
    343,691.40x = 515,998.80 × 201,682.20
  4. Step 4: Simplify right side
    343,691.40x = 104,067,773,181.36
  5. Step 5: Solve for x
    x = 104,067,773,181.36/343,691.40
  6. Step 6: Final answer
    x = 302,794.23

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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.