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Finding the Fourth Proportional to 311,455.44, 467,330.96 and 161,616

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Solution

The fourth proportional to 311,455.44, 467,330.96 and 161,616 is: 242,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,455.44 : 467,330.96 = 161,616 : x
  2. Step 2: Convert to fraction form
    311,455.44/467,330.96 = 161,616/x
  3. Step 3: Cross multiply
    311,455.44x = 467,330.96 × 161,616
  4. Step 4: Simplify right side
    311,455.44x = 75,528,160,431.36
  5. Step 5: Solve for x
    x = 75,528,160,431.36/311,455.44
  6. Step 6: Final answer
    x = 242,500.69

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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.