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Finding the Fourth Proportional to 243,381.80, 364,576.97 and 198,562.88

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Solution

The fourth proportional to 243,381.80, 364,576.97 and 198,562.88 is: 297,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,381.80 : 364,576.97 = 198,562.88 : x
  2. Step 2: Convert to fraction form
    243,381.80/364,576.97 = 198,562.88/x
  3. Step 3: Cross multiply
    243,381.80x = 364,576.97 × 198,562.88
  4. Step 4: Simplify right side
    243,381.80x = 72,391,450,329.17
  5. Step 5: Solve for x
    x = 72,391,450,329.17/243,381.80
  6. Step 6: Final answer
    x = 297,439.87

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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.