Finding the Fourth Proportional to 1,402,649,876.14, 2,104,302,240.91 and 406,691,738.26
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Solution
The fourth proportional to 1,402,649,876.14, 2,104,302,240.91 and 406,691,738.26 is: 610,132,543.22
Step by Step Solution
- Step 1: Write the proportion equation
1,402,649,876.14 : 2,104,302,240.91 = 406,691,738.26 : x - Step 2: Convert to fraction form
1,402,649,876.14/2,104,302,240.91 = 406,691,738.26/x - Step 3: Cross multiply
1,402,649,876.14x = 2,104,302,240.91 × 406,691,738.26 - Step 4: Simplify right side
1,402,649,876.14x = 855,802,336,175,369,088 - Step 5: Solve for x
x = 855,802,336,175,369,088/1,402,649,876.14 - Step 6: Final answer
x = 610,132,543.22
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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.