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Finding the Fourth Proportional to 290,874.56, 401,075.93 and 204,806.03

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Solution

The fourth proportional to 290,874.56, 401,075.93 and 204,806.03 is: 282,399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,874.56 : 401,075.93 = 204,806.03 : x
  2. Step 2: Convert to fraction form
    290,874.56/401,075.93 = 204,806.03/x
  3. Step 3: Cross multiply
    290,874.56x = 401,075.93 × 204,806.03
  4. Step 4: Simplify right side
    290,874.56x = 82,142,767,458.49
  5. Step 5: Solve for x
    x = 82,142,767,458.49/290,874.56
  6. Step 6: Final answer
    x = 282,399.29

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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.