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Finding the Fourth Proportional to 295,136.96, 407,288.16 and 161,000

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Solution

The fourth proportional to 295,136.96, 407,288.16 and 161,000 is: 222,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,136.96 : 407,288.16 = 161,000 : x
  2. Step 2: Convert to fraction form
    295,136.96/407,288.16 = 161,000/x
  3. Step 3: Cross multiply
    295,136.96x = 407,288.16 × 161,000
  4. Step 4: Simplify right side
    295,136.96x = 65,573,393,760.00
  5. Step 5: Solve for x
    x = 65,573,393,760.00/295,136.96
  6. Step 6: Final answer
    x = 222,179.54

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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.