Finding the Fourth Proportional to 1,642,537,051.63, 2,463,805,605.90 and 398,959,135.83
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Solution
The fourth proportional to 1,642,537,051.63, 2,463,805,605.90 and 398,959,135.83 is: 598,438,710.66
Step by Step Solution
- Step 1: Write the proportion equation
1,642,537,051.63 : 2,463,805,605.90 = 398,959,135.83 : x - Step 2: Convert to fraction form
1,642,537,051.63/2,463,805,605.90 = 398,959,135.83/x - Step 3: Cross multiply
1,642,537,051.63x = 2,463,805,605.90 × 398,959,135.83 - Step 4: Simplify right side
1,642,537,051.63x = 982,957,755,382,973,568 - Step 5: Solve for x
x = 982,957,755,382,973,568/1,642,537,051.63 - Step 6: Final answer
x = 598,438,710.66
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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.