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Finding the Fourth Proportional to 305,796.27, 422,004.51 and 169,842.81

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Solution

The fourth proportional to 305,796.27, 422,004.51 and 169,842.81 is: 234,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,796.27 : 422,004.51 = 169,842.81 : x
  2. Step 2: Convert to fraction form
    305,796.27/422,004.51 = 169,842.81/x
  3. Step 3: Cross multiply
    305,796.27x = 422,004.51 × 169,842.81
  4. Step 4: Simplify right side
    305,796.27x = 71,674,431,811.07
  5. Step 5: Solve for x
    x = 71,674,431,811.07/305,796.27
  6. Step 6: Final answer
    x = 234,386.22

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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.