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Finding the Fourth Proportional to 299,213.50, 412,900.20 and 163,239.34

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Solution

The fourth proportional to 299,213.50, 412,900.20 and 163,239.34 is: 225,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,213.50 : 412,900.20 = 163,239.34 : x
  2. Step 2: Convert to fraction form
    299,213.50/412,900.20 = 163,239.34/x
  3. Step 3: Cross multiply
    299,213.50x = 412,900.20 × 163,239.34
  4. Step 4: Simplify right side
    299,213.50x = 67,401,556,133.87
  5. Step 5: Solve for x
    x = 67,401,556,133.87/299,213.50
  6. Step 6: Final answer
    x = 225,262.42

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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.