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Finding the Fourth Proportional to 290,873.92, 401,075.06 and 204,805.40

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Solution

The fourth proportional to 290,873.92, 401,075.06 and 204,805.40 is: 282,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,873.92 : 401,075.06 = 204,805.40 : x
  2. Step 2: Convert to fraction form
    290,873.92/401,075.06 = 204,805.40/x
  3. Step 3: Cross multiply
    290,873.92x = 401,075.06 × 204,805.40
  4. Step 4: Simplify right side
    290,873.92x = 82,142,338,093.32
  5. Step 5: Solve for x
    x = 82,142,338,093.32/290,873.92
  6. Step 6: Final answer
    x = 282,398.43

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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.