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Finding the Fourth Proportional to 198,533.28, 297,829.44 and 65,388.96

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Solution

The fourth proportional to 198,533.28, 297,829.44 and 65,388.96 is: 98,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,533.28 : 297,829.44 = 65,388.96 : x
  2. Step 2: Convert to fraction form
    198,533.28/297,829.44 = 65,388.96/x
  3. Step 3: Cross multiply
    198,533.28x = 297,829.44 × 65,388.96
  4. Step 4: Simplify right side
    198,533.28x = 19,474,757,338.98
  5. Step 5: Solve for x
    x = 19,474,757,338.98/198,533.28
  6. Step 6: Final answer
    x = 98,093.16

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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.