Finding the Fourth Proportional to 3,512,662,495.20, 5,268,993,742.80 and 927,733,471.20
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Solution
The fourth proportional to 3,512,662,495.20, 5,268,993,742.80 and 927,733,471.20 is: 1,391,600,206.80
Step by Step Solution
- Step 1: Write the proportion equation
3,512,662,495.20 : 5,268,993,742.80 = 927,733,471.20 : x - Step 2: Convert to fraction form
3,512,662,495.20/5,268,993,742.80 = 927,733,471.20/x - Step 3: Cross multiply
3,512,662,495.20x = 5,268,993,742.80 × 927,733,471.20 - Step 4: Simplify right side
3,512,662,495.20x = 4,888,221,854,738,924,544 - Step 5: Solve for x
x = 4,888,221,854,738,924,544/3,512,662,495.20 - Step 6: Final answer
x = 1,391,600,206.80
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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.