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Finding the Fourth Proportional to 321,521.92, 443,792.64 and 194,176

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Solution

The fourth proportional to 321,521.92, 443,792.64 and 194,176 is: 268,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,521.92 : 443,792.64 = 194,176 : x
  2. Step 2: Convert to fraction form
    321,521.92/443,792.64 = 194,176/x
  3. Step 3: Cross multiply
    321,521.92x = 443,792.64 × 194,176
  4. Step 4: Simplify right side
    321,521.92x = 86,173,879,664.64
  5. Step 5: Solve for x
    x = 86,173,879,664.64/321,521.92
  6. Step 6: Final answer
    x = 268,018.68

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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.