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Finding the Fourth Proportional to 285,521.36, 394,035.42 and 163,049.90

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Solution

The fourth proportional to 285,521.36, 394,035.42 and 163,049.90 is: 225,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,521.36 : 394,035.42 = 163,049.90 : x
  2. Step 2: Convert to fraction form
    285,521.36/394,035.42 = 163,049.90/x
  3. Step 3: Cross multiply
    285,521.36x = 394,035.42 × 163,049.90
  4. Step 4: Simplify right side
    285,521.36x = 64,247,435,827.46
  5. Step 5: Solve for x
    x = 64,247,435,827.46/285,521.36
  6. Step 6: Final answer
    x = 225,017.97

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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.