Finding the Fourth Proportional to 1,847,157,781,216.40, 2,768,797,125,185.60 and 621,491,382,485.90
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Solution
The fourth proportional to 1,847,157,781,216.40, 2,768,797,125,185.60 and 621,491,382,485.90 is: 931,584,497,357.56
Step by Step Solution
- Step 1: Write the proportion equation
1,847,157,781,216.40 : 2,768,797,125,185.60 = 621,491,382,485.90 : x - Step 2: Convert to fraction form
1,847,157,781,216.40/2,768,797,125,185.60 = 621,491,382,485.90/x - Step 3: Cross multiply
1,847,157,781,216.40x = 2,768,797,125,185.60 × 621,491,382,485.90 - Step 4: Simplify right side
1,847,157,781,216.40x = 1,720,783,553,154,584,217,124,864 - Step 5: Solve for x
x = 1,720,783,553,154,584,217,124,864/1,847,157,781,216.40 - Step 6: Final answer
x = 931,584,497,357.56
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.