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Finding the Fourth Proportional to 665,897, 998,845.50 and 198,953

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Solution

The fourth proportional to 665,897, 998,845.50 and 198,953 is: 298,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,897 : 998,845.50 = 198,953 : x
  2. Step 2: Convert to fraction form
    665,897/998,845.50 = 198,953/x
  3. Step 3: Cross multiply
    665,897x = 998,845.50 × 198,953
  4. Step 4: Simplify right side
    665,897x = 198,723,308,761.50
  5. Step 5: Solve for x
    x = 198,723,308,761.50/665,897
  6. Step 6: Final answer
    x = 298,429.50

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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.