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Finding the Fourth Proportional to 305,816.31, 422,021.16 and 169,845.06

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Solution

The fourth proportional to 305,816.31, 422,021.16 and 169,845.06 is: 234,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,816.31 : 422,021.16 = 169,845.06 : x
  2. Step 2: Convert to fraction form
    305,816.31/422,021.16 = 169,845.06/x
  3. Step 3: Cross multiply
    305,816.31x = 422,021.16 × 169,845.06
  4. Step 4: Simplify right side
    305,816.31x = 71,678,209,241.47
  5. Step 5: Solve for x
    x = 71,678,209,241.47/305,816.31
  6. Step 6: Final answer
    x = 234,383.21

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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.