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Finding the Fourth Proportional to 289,468.89, 399,466.49 and 162,141.75

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Solution

The fourth proportional to 289,468.89, 399,466.49 and 162,141.75 is: 223,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,468.89 : 399,466.49 = 162,141.75 : x
  2. Step 2: Convert to fraction form
    289,468.89/399,466.49 = 162,141.75/x
  3. Step 3: Cross multiply
    289,468.89x = 399,466.49 × 162,141.75
  4. Step 4: Simplify right side
    289,468.89x = 64,770,194,944.25
  5. Step 5: Solve for x
    x = 64,770,194,944.25/289,468.89
  6. Step 6: Final answer
    x = 223,755.29

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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.