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Finding the Fourth Proportional to 422,973.96, 634,431.36 and 198,383.64

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Solution

The fourth proportional to 422,973.96, 634,431.36 and 198,383.64 is: 297,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,973.96 : 634,431.36 = 198,383.64 : x
  2. Step 2: Convert to fraction form
    422,973.96/634,431.36 = 198,383.64/x
  3. Step 3: Cross multiply
    422,973.96x = 634,431.36 × 198,383.64
  4. Step 4: Simplify right side
    422,973.96x = 125,860,802,526.95
  5. Step 5: Solve for x
    x = 125,860,802,526.95/422,973.96
  6. Step 6: Final answer
    x = 297,561.59

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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.