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Finding the Fourth Proportional to 289,161.14, 399,042.32 and 161,836.73

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Solution

The fourth proportional to 289,161.14, 399,042.32 and 161,836.73 is: 223,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,161.14 : 399,042.32 = 161,836.73 : x
  2. Step 2: Convert to fraction form
    289,161.14/399,042.32 = 161,836.73/x
  3. Step 3: Cross multiply
    289,161.14x = 399,042.32 × 161,836.73
  4. Step 4: Simplify right side
    289,161.14x = 64,579,704,200.41
  5. Step 5: Solve for x
    x = 64,579,704,200.41/289,161.14
  6. Step 6: Final answer
    x = 223,334.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.