Finding the Fourth Proportional to 870,967,340.40, 1,306,451,010.60 and 782,283,615.60
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Solution
The fourth proportional to 870,967,340.40, 1,306,451,010.60 and 782,283,615.60 is: 1,173,425,423.40
Step by Step Solution
- Step 1: Write the proportion equation
870,967,340.40 : 1,306,451,010.60 = 782,283,615.60 : x - Step 2: Convert to fraction form
870,967,340.40/1,306,451,010.60 = 782,283,615.60/x - Step 3: Cross multiply
870,967,340.40x = 1,306,451,010.60 × 782,283,615.60 - Step 4: Simplify right side
870,967,340.40x = 1,022,015,220,176,441,856 - Step 5: Solve for x
x = 1,022,015,220,176,441,856/870,967,340.40 - Step 6: Final answer
x = 1,173,425,423.40
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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.