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Finding the Fourth Proportional to 219,563.78, 329,786.55 and 130,990.34

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Solution

The fourth proportional to 219,563.78, 329,786.55 and 130,990.34 is: 196,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,563.78 : 329,786.55 = 130,990.34 : x
  2. Step 2: Convert to fraction form
    219,563.78/329,786.55 = 130,990.34/x
  3. Step 3: Cross multiply
    219,563.78x = 329,786.55 × 130,990.34
  4. Step 4: Simplify right side
    219,563.78x = 43,198,852,311.93
  5. Step 5: Solve for x
    x = 43,198,852,311.93/219,563.78
  6. Step 6: Final answer
    x = 196,748.54

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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.