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Finding the Fourth Proportional to 288,382.41, 397,919.39 and 161,058.51

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Solution

The fourth proportional to 288,382.41, 397,919.39 and 161,058.51 is: 222,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,382.41 : 397,919.39 = 161,058.51 : x
  2. Step 2: Convert to fraction form
    288,382.41/397,919.39 = 161,058.51/x
  3. Step 3: Cross multiply
    288,382.41x = 397,919.39 × 161,058.51
  4. Step 4: Simplify right side
    288,382.41x = 64,088,303,248.22
  5. Step 5: Solve for x
    x = 64,088,303,248.22/288,382.41
  6. Step 6: Final answer
    x = 222,233.75

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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.