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Finding the Fourth Proportional to 293,274, 404,719.20 and 159,138

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Solution

The fourth proportional to 293,274, 404,719.20 and 159,138 is: 219,611.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,274 : 404,719.20 = 159,138 : x
  2. Step 2: Convert to fraction form
    293,274/404,719.20 = 159,138/x
  3. Step 3: Cross multiply
    293,274x = 404,719.20 × 159,138
  4. Step 4: Simplify right side
    293,274x = 64,406,204,049.60
  5. Step 5: Solve for x
    x = 64,406,204,049.60/293,274
  6. Step 6: Final answer
    x = 219,611.03

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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.