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Finding the Fourth Proportional to 305,840.56, 422,048.32 and 169,883.27

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Solution

The fourth proportional to 305,840.56, 422,048.32 and 169,883.27 is: 234,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,840.56 : 422,048.32 = 169,883.27 : x
  2. Step 2: Convert to fraction form
    305,840.56/422,048.32 = 169,883.27/x
  3. Step 3: Cross multiply
    305,840.56x = 422,048.32 × 169,883.27
  4. Step 4: Simplify right side
    305,840.56x = 71,698,951,076.95
  5. Step 5: Solve for x
    x = 71,698,951,076.95/305,840.56
  6. Step 6: Final answer
    x = 234,432.45

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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.