Finding the Fourth Proportional to 1,540,213,821.91, 2,297,371,186.74 and 1,398,818,053.28
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Solution
The fourth proportional to 1,540,213,821.91, 2,297,371,186.74 and 1,398,818,053.28 is: 2,086,466,336.95
Step by Step Solution
- Step 1: Write the proportion equation
1,540,213,821.91 : 2,297,371,186.74 = 1,398,818,053.28 : x - Step 2: Convert to fraction form
1,540,213,821.91/2,297,371,186.74 = 1,398,818,053.28/x - Step 3: Cross multiply
1,540,213,821.91x = 2,297,371,186.74 × 1,398,818,053.28 - Step 4: Simplify right side
1,540,213,821.91x = 3,213,604,291,108,129,280 - Step 5: Solve for x
x = 3,213,604,291,108,129,280/1,540,213,821.91 - Step 6: Final answer
x = 2,086,466,336.95
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.