Finding the Fourth Proportional to 1,640,953,161.84, 2,264,429,366.88 and 898,254,960.24
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Solution
The fourth proportional to 1,640,953,161.84, 2,264,429,366.88 and 898,254,960.24 is: 1,239,544,770.82
Step by Step Solution
- Step 1: Write the proportion equation
1,640,953,161.84 : 2,264,429,366.88 = 898,254,960.24 : x - Step 2: Convert to fraction form
1,640,953,161.84/2,264,429,366.88 = 898,254,960.24/x - Step 3: Cross multiply
1,640,953,161.84x = 2,264,429,366.88 × 898,254,960.24 - Step 4: Simplify right side
1,640,953,161.84x = 2,034,034,910,913,082,880 - Step 5: Solve for x
x = 2,034,034,910,913,082,880/1,640,953,161.84 - Step 6: Final answer
x = 1,239,544,770.82
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.