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Finding the Fourth Proportional to 317,651.69, 438,564.48 and 196,922.00

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Solution

The fourth proportional to 317,651.69, 438,564.48 and 196,922.00 is: 271,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,651.69 : 438,564.48 = 196,922.00 : x
  2. Step 2: Convert to fraction form
    317,651.69/438,564.48 = 196,922.00/x
  3. Step 3: Cross multiply
    317,651.69x = 438,564.48 × 196,922.00
  4. Step 4: Simplify right side
    317,651.69x = 86,362,994,888.51
  5. Step 5: Solve for x
    x = 86,362,994,888.51/317,651.69
  6. Step 6: Final answer
    x = 271,879.54

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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.