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Finding the Fourth Proportional to 198,578.56, 297,154.32 and 145,857.28

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Solution

The fourth proportional to 198,578.56, 297,154.32 and 145,857.28 is: 218,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,578.56 : 297,154.32 = 145,857.28 : x
  2. Step 2: Convert to fraction form
    198,578.56/297,154.32 = 145,857.28/x
  3. Step 3: Cross multiply
    198,578.56x = 297,154.32 × 145,857.28
  4. Step 4: Simplify right side
    198,578.56x = 43,342,120,855.45
  5. Step 5: Solve for x
    x = 43,342,120,855.45/198,578.56
  6. Step 6: Final answer
    x = 218,261.83

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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.