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Finding the Fourth Proportional to 290,626.14, 401,099.94 and 163,299

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Solution

The fourth proportional to 290,626.14, 401,099.94 and 163,299 is: 225,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,626.14 : 401,099.94 = 163,299 : x
  2. Step 2: Convert to fraction form
    290,626.14/401,099.94 = 163,299/x
  3. Step 3: Cross multiply
    290,626.14x = 401,099.94 × 163,299
  4. Step 4: Simplify right side
    290,626.14x = 65,499,219,102.06
  5. Step 5: Solve for x
    x = 65,499,219,102.06/290,626.14
  6. Step 6: Final answer
    x = 225,372.77

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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.