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Finding the Fourth Proportional to 198,629.80, 297,858.30 and 65,458.60

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Solution

The fourth proportional to 198,629.80, 297,858.30 and 65,458.60 is: 98,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,629.80 : 297,858.30 = 65,458.60 : x
  2. Step 2: Convert to fraction form
    198,629.80/297,858.30 = 65,458.60/x
  3. Step 3: Cross multiply
    198,629.80x = 297,858.30 × 65,458.60
  4. Step 4: Simplify right side
    198,629.80x = 19,497,387,316.38
  5. Step 5: Solve for x
    x = 19,497,387,316.38/198,629.80
  6. Step 6: Final answer
    x = 98,159.43

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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.