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Finding the Fourth Proportional to 285,797.40, 394,418.79 and 164,943.78

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Solution

The fourth proportional to 285,797.40, 394,418.79 and 164,943.78 is: 227,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,797.40 : 394,418.79 = 164,943.78 : x
  2. Step 2: Convert to fraction form
    285,797.40/394,418.79 = 164,943.78/x
  3. Step 3: Cross multiply
    285,797.40x = 394,418.79 × 164,943.78
  4. Step 4: Simplify right side
    285,797.40x = 65,056,926,125.63
  5. Step 5: Solve for x
    x = 65,056,926,125.63/285,797.40
  6. Step 6: Final answer
    x = 227,633.02

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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.