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Finding the Fourth Proportional to 290,820.44, 401,297.28 and 161,726.60

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Solution

The fourth proportional to 290,820.44, 401,297.28 and 161,726.60 is: 223,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,820.44 : 401,297.28 = 161,726.60 : x
  2. Step 2: Convert to fraction form
    290,820.44/401,297.28 = 161,726.60/x
  3. Step 3: Cross multiply
    290,820.44x = 401,297.28 × 161,726.60
  4. Step 4: Simplify right side
    290,820.44x = 64,900,444,683.65
  5. Step 5: Solve for x
    x = 64,900,444,683.65/290,820.44
  6. Step 6: Final answer
    x = 223,163.28

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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.