Finding the Fourth Proportional to 1,026,079,204.09, 1,415,951,366.61 and 556,170,435.97
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Solution
The fourth proportional to 1,026,079,204.09, 1,415,951,366.61 and 556,170,435.97 is: 767,494,639.54
Step by Step Solution
- Step 1: Write the proportion equation
1,026,079,204.09 : 1,415,951,366.61 = 556,170,435.97 : x - Step 2: Convert to fraction form
1,026,079,204.09/1,415,951,366.61 = 556,170,435.97/x - Step 3: Cross multiply
1,026,079,204.09x = 1,415,951,366.61 × 556,170,435.97 - Step 4: Simplify right side
1,026,079,204.09x = 787,510,288,879,800,960 - Step 5: Solve for x
x = 787,510,288,879,800,960/1,026,079,204.09 - Step 6: Final answer
x = 767,494,639.54
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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.