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Finding the Fourth Proportional to 312,548.82, 431,229.84 and 196,274.82

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Solution

The fourth proportional to 312,548.82, 431,229.84 and 196,274.82 is: 270,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,548.82 : 431,229.84 = 196,274.82 : x
  2. Step 2: Convert to fraction form
    312,548.82/431,229.84 = 196,274.82/x
  3. Step 3: Cross multiply
    312,548.82x = 431,229.84 × 196,274.82
  4. Step 4: Simplify right side
    312,548.82x = 84,639,559,224.63
  5. Step 5: Solve for x
    x = 84,639,559,224.63/312,548.82
  6. Step 6: Final answer
    x = 270,804.28

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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.