Finding the Fourth Proportional to 827,455,766.40, 1,241,183,649.60 and 366,905,059.20
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Solution
The fourth proportional to 827,455,766.40, 1,241,183,649.60 and 366,905,059.20 is: 550,357,588.80
Step by Step Solution
- Step 1: Write the proportion equation
827,455,766.40 : 1,241,183,649.60 = 366,905,059.20 : x - Step 2: Convert to fraction form
827,455,766.40/1,241,183,649.60 = 366,905,059.20/x - Step 3: Cross multiply
827,455,766.40x = 1,241,183,649.60 × 366,905,059.20 - Step 4: Simplify right side
827,455,766.40x = 455,396,560,434,560,000 - Step 5: Solve for x
x = 455,396,560,434,560,000/827,455,766.40 - Step 6: Final answer
x = 550,357,588.80
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1.5x scale
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.