Finding the Fourth Proportional to 774,343,266, 1,068,580,252.76 and 421,922,152.65
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Solution
The fourth proportional to 774,343,266, 1,068,580,252.76 and 421,922,152.65 is: 582,245,239.70
Step by Step Solution
- Step 1: Write the proportion equation
774,343,266 : 1,068,580,252.76 = 421,922,152.65 : x - Step 2: Convert to fraction form
774,343,266/1,068,580,252.76 = 421,922,152.65/x - Step 3: Cross multiply
774,343,266x = 1,068,580,252.76 × 421,922,152.65 - Step 4: Simplify right side
774,343,266x = 450,857,680,521,670,656 - Step 5: Solve for x
x = 450,857,680,521,670,656/774,343,266 - Step 6: Final answer
x = 582,245,239.70
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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.