Finding the Fourth Proportional to 1,461,463,618.40, 2,192,195,427.60 and 685,187,749.70
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Solution
The fourth proportional to 1,461,463,618.40, 2,192,195,427.60 and 685,187,749.70 is: 1,027,781,624.55
Step by Step Solution
- Step 1: Write the proportion equation
1,461,463,618.40 : 2,192,195,427.60 = 685,187,749.70 : x - Step 2: Convert to fraction form
1,461,463,618.40/2,192,195,427.60 = 685,187,749.70/x - Step 3: Cross multiply
1,461,463,618.40x = 2,192,195,427.60 × 685,187,749.70 - Step 4: Simplify right side
1,461,463,618.40x = 1,502,065,451,939,873,280 - Step 5: Solve for x
x = 1,502,065,451,939,873,280/1,461,463,618.40 - Step 6: Final answer
x = 1,027,781,624.55
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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.