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Finding the Fourth Proportional to 312,542.51, 431,221.14 and 196,268.51

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Solution

The fourth proportional to 312,542.51, 431,221.14 and 196,268.51 is: 270,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,542.51 : 431,221.14 = 196,268.51 : x
  2. Step 2: Convert to fraction form
    312,542.51/431,221.14 = 196,268.51/x
  3. Step 3: Cross multiply
    312,542.51x = 431,221.14 × 196,268.51
  4. Step 4: Simplify right side
    312,542.51x = 84,635,130,628.30
  5. Step 5: Solve for x
    x = 84,635,130,628.30/312,542.51
  6. Step 6: Final answer
    x = 270,795.58

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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.