Finding the Fourth Proportional to 1,646,959,122.09, 2,470,518,136.76 and 541,539,505.53
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Solution
The fourth proportional to 1,646,959,122.09, 2,470,518,136.76 and 541,539,505.53 is: 812,335,383.58
Step by Step Solution
- Step 1: Write the proportion equation
1,646,959,122.09 : 2,470,518,136.76 = 541,539,505.53 : x - Step 2: Convert to fraction form
1,646,959,122.09/2,470,518,136.76 = 541,539,505.53/x - Step 3: Cross multiply
1,646,959,122.09x = 2,470,518,136.76 × 541,539,505.53 - Step 4: Simplify right side
1,646,959,122.09x = 1,337,883,170,181,199,616 - Step 5: Solve for x
x = 1,337,883,170,181,199,616/1,646,959,122.09 - Step 6: Final answer
x = 812,335,383.58
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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.