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Finding the Fourth Proportional to 243,382.80, 364,578.46 and 198,563.88

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Solution

The fourth proportional to 243,382.80, 364,578.46 and 198,563.88 is: 297,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,382.80 : 364,578.46 = 198,563.88 : x
  2. Step 2: Convert to fraction form
    243,382.80/364,578.46 = 198,563.88/x
  3. Step 3: Cross multiply
    243,382.80x = 364,578.46 × 198,563.88
  4. Step 4: Simplify right side
    243,382.80x = 72,392,113,582.02
  5. Step 5: Solve for x
    x = 72,392,113,582.02/243,382.80
  6. Step 6: Final answer
    x = 297,441.37

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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.