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Finding the Fourth Proportional to 298,625.50, 412,103.20 and 164,489.50

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Solution

The fourth proportional to 298,625.50, 412,103.20 and 164,489.50 is: 226,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,625.50 : 412,103.20 = 164,489.50 : x
  2. Step 2: Convert to fraction form
    298,625.50/412,103.20 = 164,489.50/x
  3. Step 3: Cross multiply
    298,625.50x = 412,103.20 × 164,489.50
  4. Step 4: Simplify right side
    298,625.50x = 67,786,649,316.40
  5. Step 5: Solve for x
    x = 67,786,649,316.40/298,625.50
  6. Step 6: Final answer
    x = 226,995.52

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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.