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Finding the Fourth Proportional to 263,461.80, 394,026.30 and 221,471.40

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Solution

The fourth proportional to 263,461.80, 394,026.30 and 221,471.40 is: 331,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,461.80 : 394,026.30 = 221,471.40 : x
  2. Step 2: Convert to fraction form
    263,461.80/394,026.30 = 221,471.40/x
  3. Step 3: Cross multiply
    263,461.80x = 394,026.30 × 221,471.40
  4. Step 4: Simplify right side
    263,461.80x = 87,265,556,297.82
  5. Step 5: Solve for x
    x = 87,265,556,297.82/263,461.80
  6. Step 6: Final answer
    x = 331,226.60

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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.