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Finding the Fourth Proportional to 263,310.80, 394,966.20 and 210,822.80

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Solution

The fourth proportional to 263,310.80, 394,966.20 and 210,822.80 is: 316,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,310.80 : 394,966.20 = 210,822.80 : x
  2. Step 2: Convert to fraction form
    263,310.80/394,966.20 = 210,822.80/x
  3. Step 3: Cross multiply
    263,310.80x = 394,966.20 × 210,822.80
  4. Step 4: Simplify right side
    263,310.80x = 83,267,880,189.36
  5. Step 5: Solve for x
    x = 83,267,880,189.36/263,310.80
  6. Step 6: Final answer
    x = 316,234.20

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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.