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Finding the Fourth Proportional to 198,784, 297,994.56 and 181,469.44

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Solution

The fourth proportional to 198,784, 297,994.56 and 181,469.44 is: 272,038.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,784 : 297,994.56 = 181,469.44 : x
  2. Step 2: Convert to fraction form
    198,784/297,994.56 = 181,469.44/x
  3. Step 3: Cross multiply
    198,784x = 297,994.56 × 181,469.44
  4. Step 4: Simplify right side
    198,784x = 54,076,905,926.25
  5. Step 5: Solve for x
    x = 54,076,905,926.25/198,784
  6. Step 6: Final answer
    x = 272,038.52

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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.