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Finding the Fourth Proportional to 305,889.50, 422,127.28 and 169,936.16

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Solution

The fourth proportional to 305,889.50, 422,127.28 and 169,936.16 is: 234,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,889.50 : 422,127.28 = 169,936.16 : x
  2. Step 2: Convert to fraction form
    305,889.50/422,127.28 = 169,936.16/x
  3. Step 3: Cross multiply
    305,889.50x = 422,127.28 × 169,936.16
  4. Step 4: Simplify right side
    305,889.50x = 71,734,687,939.13
  5. Step 5: Solve for x
    x = 71,734,687,939.13/305,889.50
  6. Step 6: Final answer
    x = 234,511.77

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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.