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Finding the Fourth Proportional to 290,144.89, 400,297.30 and 189,601.21

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Solution

The fourth proportional to 290,144.89, 400,297.30 and 189,601.21 is: 261,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,144.89 : 400,297.30 = 189,601.21 : x
  2. Step 2: Convert to fraction form
    290,144.89/400,297.30 = 189,601.21/x
  3. Step 3: Cross multiply
    290,144.89x = 400,297.30 × 189,601.21
  4. Step 4: Simplify right side
    290,144.89x = 75,896,852,439.73
  5. Step 5: Solve for x
    x = 75,896,852,439.73/290,144.89
  6. Step 6: Final answer
    x = 261,582.59

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1.5x scale

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.