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Finding the Fourth Proportional to 413,722.70, 620,496.92 and 189,019.34

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Solution

The fourth proportional to 413,722.70, 620,496.92 and 189,019.34 is: 283,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,722.70 : 620,496.92 = 189,019.34 : x
  2. Step 2: Convert to fraction form
    413,722.70/620,496.92 = 189,019.34/x
  3. Step 3: Cross multiply
    413,722.70x = 620,496.92 × 189,019.34
  4. Step 4: Simplify right side
    413,722.70x = 117,285,918,290.43
  5. Step 5: Solve for x
    x = 117,285,918,290.43/413,722.70
  6. Step 6: Final answer
    x = 283,489.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.