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Finding the Fourth Proportional to 290,974.82, 401,413.36 and 210,274.52

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Solution

The fourth proportional to 290,974.82, 401,413.36 and 210,274.52 is: 290,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,974.82 : 401,413.36 = 210,274.52 : x
  2. Step 2: Convert to fraction form
    290,974.82/401,413.36 = 210,274.52/x
  3. Step 3: Cross multiply
    290,974.82x = 401,413.36 × 210,274.52
  4. Step 4: Simplify right side
    290,974.82x = 84,407,001,595.59
  5. Step 5: Solve for x
    x = 84,407,001,595.59/290,974.82
  6. Step 6: Final answer
    x = 290,083.53

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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.