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Finding the Fourth Proportional to 289,471.14, 399,469.59 and 162,144

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Solution

The fourth proportional to 289,471.14, 399,469.59 and 162,144 is: 223,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,471.14 : 399,469.59 = 162,144 : x
  2. Step 2: Convert to fraction form
    289,471.14/399,469.59 = 162,144/x
  3. Step 3: Cross multiply
    289,471.14x = 399,469.59 × 162,144
  4. Step 4: Simplify right side
    289,471.14x = 64,771,597,200.96
  5. Step 5: Solve for x
    x = 64,771,597,200.96/289,471.14
  6. Step 6: Final answer
    x = 223,758.39

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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.