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Finding the Fourth Proportional to 290,874.93, 401,076.45 and 204,806.40

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Solution

The fourth proportional to 290,874.93, 401,076.45 and 204,806.40 is: 282,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,874.93 : 401,076.45 = 204,806.40 : x
  2. Step 2: Convert to fraction form
    290,874.93/401,076.45 = 204,806.40/x
  3. Step 3: Cross multiply
    290,874.93x = 401,076.45 × 204,806.40
  4. Step 4: Simplify right side
    290,874.93x = 82,143,023,849.28
  5. Step 5: Solve for x
    x = 82,143,023,849.28/290,874.93
  6. Step 6: Final answer
    x = 282,399.81

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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.