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Finding the Fourth Proportional to 685,837.94, 946,918.69 and 428,107.41

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Solution

The fourth proportional to 685,837.94, 946,918.69 and 428,107.41 is: 591,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,837.94 : 946,918.69 = 428,107.41 : x
  2. Step 2: Convert to fraction form
    685,837.94/946,918.69 = 428,107.41/x
  3. Step 3: Cross multiply
    685,837.94x = 946,918.69 × 428,107.41
  4. Step 4: Simplify right side
    685,837.94x = 405,382,906,786.22
  5. Step 5: Solve for x
    x = 405,382,906,786.22/685,837.94
  6. Step 6: Final answer
    x = 591,076.82

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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.