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Finding the Fourth Proportional to 317,889.36, 438,504.84 and 198,450

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Solution

The fourth proportional to 317,889.36, 438,504.84 and 198,450 is: 273,747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,889.36 : 438,504.84 = 198,450 : x
  2. Step 2: Convert to fraction form
    317,889.36/438,504.84 = 198,450/x
  3. Step 3: Cross multiply
    317,889.36x = 438,504.84 × 198,450
  4. Step 4: Simplify right side
    317,889.36x = 87,021,285,498
  5. Step 5: Solve for x
    x = 87,021,285,498/317,889.36
  6. Step 6: Final answer
    x = 273,747.08

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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.