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Finding the Fourth Proportional to 289,194.28, 399,083.46 and 161,869.48

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Solution

The fourth proportional to 289,194.28, 399,083.46 and 161,869.48 is: 223,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,194.28 : 399,083.46 = 161,869.48 : x
  2. Step 2: Convert to fraction form
    289,194.28/399,083.46 = 161,869.48/x
  3. Step 3: Cross multiply
    289,194.28x = 399,083.46 × 161,869.48
  4. Step 4: Simplify right side
    289,194.28x = 64,599,432,146.80
  5. Step 5: Solve for x
    x = 64,599,432,146.80/289,194.28
  6. Step 6: Final answer
    x = 223,377.28

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Why These Related Problems?

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