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Finding the Fourth Proportional to 290,928, 401,485.50 and 190,326

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Solution

The fourth proportional to 290,928, 401,485.50 and 190,326 is: 262,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,928 : 401,485.50 = 190,326 : x
  2. Step 2: Convert to fraction form
    290,928/401,485.50 = 190,326/x
  3. Step 3: Cross multiply
    290,928x = 401,485.50 × 190,326
  4. Step 4: Simplify right side
    290,928x = 76,413,129,273
  5. Step 5: Solve for x
    x = 76,413,129,273/290,928
  6. Step 6: Final answer
    x = 262,653.06

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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.