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Finding the Fourth Proportional to 305,807.43, 422,024.10 and 169,843.01

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Solution

The fourth proportional to 305,807.43, 422,024.10 and 169,843.01 is: 234,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,807.43 : 422,024.10 = 169,843.01 : x
  2. Step 2: Convert to fraction form
    305,807.43/422,024.10 = 169,843.01/x
  3. Step 3: Cross multiply
    305,807.43x = 422,024.10 × 169,843.01
  4. Step 4: Simplify right side
    305,807.43x = 71,677,843,436.54
  5. Step 5: Solve for x
    x = 71,677,843,436.54/305,807.43
  6. Step 6: Final answer
    x = 234,388.82

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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.