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Finding the Fourth Proportional to 297,836.45, 411,013.80 and 161,869.98

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Solution

The fourth proportional to 297,836.45, 411,013.80 and 161,869.98 is: 223,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,836.45 : 411,013.80 = 161,869.98 : x
  2. Step 2: Convert to fraction form
    297,836.45/411,013.80 = 161,869.98/x
  3. Step 3: Cross multiply
    297,836.45x = 411,013.80 × 161,869.98
  4. Step 4: Simplify right side
    297,836.45x = 66,530,795,585.72
  5. Step 5: Solve for x
    x = 66,530,795,585.72/297,836.45
  6. Step 6: Final answer
    x = 223,380.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.