Finding the Fourth Proportional to 1,647,482,316.80, 2,471,185,689.60 and 829,374,924.80
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Solution
The fourth proportional to 1,647,482,316.80, 2,471,185,689.60 and 829,374,924.80 is: 1,244,043,365.19
Step by Step Solution
- Step 1: Write the proportion equation
1,647,482,316.80 : 2,471,185,689.60 = 829,374,924.80 : x - Step 2: Convert to fraction form
1,647,482,316.80/2,471,185,689.60 = 829,374,924.80/x - Step 3: Cross multiply
1,647,482,316.80x = 2,471,185,689.60 × 829,374,924.80 - Step 4: Simplify right side
1,647,482,316.80x = 2,049,539,445,478,835,968 - Step 5: Solve for x
x = 2,049,539,445,478,835,968/1,647,482,316.80 - Step 6: Final answer
x = 1,244,043,365.19
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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.