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Finding the Fourth Proportional to 290,892.41, 401,382.59 and 161,813.84

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Solution

The fourth proportional to 290,892.41, 401,382.59 and 161,813.84 is: 223,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,892.41 : 401,382.59 = 161,813.84 : x
  2. Step 2: Convert to fraction form
    290,892.41/401,382.59 = 161,813.84/x
  3. Step 3: Cross multiply
    290,892.41x = 401,382.59 × 161,813.84
  4. Step 4: Simplify right side
    290,892.41x = 64,949,258,391.43
  5. Step 5: Solve for x
    x = 64,949,258,391.43/290,892.41
  6. Step 6: Final answer
    x = 223,275.88

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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.