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Finding the Fourth Proportional to 290,554.98, 400,976.19 and 161,496.06

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Solution

The fourth proportional to 290,554.98, 400,976.19 and 161,496.06 is: 222,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,554.98 : 400,976.19 = 161,496.06 : x
  2. Step 2: Convert to fraction form
    290,554.98/400,976.19 = 161,496.06/x
  3. Step 3: Cross multiply
    290,554.98x = 400,976.19 × 161,496.06
  4. Step 4: Simplify right side
    290,554.98x = 64,756,074,838.81
  5. Step 5: Solve for x
    x = 64,756,074,838.81/290,554.98
  6. Step 6: Final answer
    x = 222,870.30

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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.