Finding the Fourth Proportional to 1,305,405,313.92, 1,958,107,970.88 and 431,771,947.20
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Solution
The fourth proportional to 1,305,405,313.92, 1,958,107,970.88 and 431,771,947.20 is: 647,657,920.80
Step by Step Solution
- Step 1: Write the proportion equation
1,305,405,313.92 : 1,958,107,970.88 = 431,771,947.20 : x - Step 2: Convert to fraction form
1,305,405,313.92/1,958,107,970.88 = 431,771,947.20/x - Step 3: Cross multiply
1,305,405,313.92x = 1,958,107,970.88 × 431,771,947.20 - Step 4: Simplify right side
1,305,405,313.92x = 845,456,091,414,698,496 - Step 5: Solve for x
x = 845,456,091,414,698,496/1,305,405,313.92 - Step 6: Final answer
x = 647,657,920.80
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Similar ratio
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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.