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Finding the Fourth Proportional to 290,873.49, 401,074.47 and 204,804.96

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Solution

The fourth proportional to 290,873.49, 401,074.47 and 204,804.96 is: 282,397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,873.49 : 401,074.47 = 204,804.96 : x
  2. Step 2: Convert to fraction form
    290,873.49/401,074.47 = 204,804.96/x
  3. Step 3: Cross multiply
    290,873.49x = 401,074.47 × 204,804.96
  4. Step 4: Simplify right side
    290,873.49x = 82,142,040,785.37
  5. Step 5: Solve for x
    x = 82,142,040,785.37/290,873.49
  6. Step 6: Final answer
    x = 282,397.82

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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.