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Finding the Fourth Proportional to 298,922, 412,521 and 164,794.64

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Solution

The fourth proportional to 298,922, 412,521 and 164,794.64 is: 227,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,922 : 412,521 = 164,794.64 : x
  2. Step 2: Convert to fraction form
    298,922/412,521 = 164,794.64/x
  3. Step 3: Cross multiply
    298,922x = 412,521 × 164,794.64
  4. Step 4: Simplify right side
    298,922x = 67,981,249,687.44
  5. Step 5: Solve for x
    x = 67,981,249,687.44/298,922
  6. Step 6: Final answer
    x = 227,421.37

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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.