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Finding the Fourth Proportional to 293,644, 405,229.20 and 159,508

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Solution

The fourth proportional to 293,644, 405,229.20 and 159,508 is: 220,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,644 : 405,229.20 = 159,508 : x
  2. Step 2: Convert to fraction form
    293,644/405,229.20 = 159,508/x
  3. Step 3: Cross multiply
    293,644x = 405,229.20 × 159,508
  4. Step 4: Simplify right side
    293,644x = 64,637,299,233.60
  5. Step 5: Solve for x
    x = 64,637,299,233.60/293,644
  6. Step 6: Final answer
    x = 220,121.30

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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.