Finding the Fourth Proportional to 1,299,284,968.20, 1,949,405,749.20 and 425,914,828.80
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Solution
The fourth proportional to 1,299,284,968.20, 1,949,405,749.20 and 425,914,828.80 is: 639,029,032.32
Step by Step Solution
- Step 1: Write the proportion equation
1,299,284,968.20 : 1,949,405,749.20 = 425,914,828.80 : x - Step 2: Convert to fraction form
1,299,284,968.20/1,949,405,749.20 = 425,914,828.80/x - Step 3: Cross multiply
1,299,284,968.20x = 1,949,405,749.20 × 425,914,828.80 - Step 4: Simplify right side
1,299,284,968.20x = 830,280,815,932,253,824 - Step 5: Solve for x
x = 830,280,815,932,253,824/1,299,284,968.20 - Step 6: Final answer
x = 639,029,032.32
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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.