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Finding the Fourth Proportional to 290,136.30, 400,361.31 and 162,788.46

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Solution

The fourth proportional to 290,136.30, 400,361.31 and 162,788.46 is: 224,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,136.30 : 400,361.31 = 162,788.46 : x
  2. Step 2: Convert to fraction form
    290,136.30/400,361.31 = 162,788.46/x
  3. Step 3: Cross multiply
    290,136.30x = 400,361.31 × 162,788.46
  4. Step 4: Simplify right side
    290,136.30x = 65,174,201,098.48
  5. Step 5: Solve for x
    x = 65,174,201,098.48/290,136.30
  6. Step 6: Final answer
    x = 224,633.05

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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.