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Finding the Fourth Proportional to 685,764.40, 946,817.30 and 428,033.97

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Solution

The fourth proportional to 685,764.40, 946,817.30 and 428,033.97 is: 590,975.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,764.40 : 946,817.30 = 428,033.97 : x
  2. Step 2: Convert to fraction form
    685,764.40/946,817.30 = 428,033.97/x
  3. Step 3: Cross multiply
    685,764.40x = 946,817.30 × 428,033.97
  4. Step 4: Simplify right side
    685,764.40x = 405,269,968,853.77
  5. Step 5: Solve for x
    x = 405,269,968,853.77/685,764.40
  6. Step 6: Final answer
    x = 590,975.51

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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.