Finding the Fourth Proportional to 491,445,706.14, 678,190,609.61 and 268,427,341.38
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Solution
The fourth proportional to 491,445,706.14, 678,190,609.61 and 268,427,341.38 is: 370,427,292.40
Step by Step Solution
- Step 1: Write the proportion equation
491,445,706.14 : 678,190,609.61 = 268,427,341.38 : x - Step 2: Convert to fraction form
491,445,706.14/678,190,609.61 = 268,427,341.38/x - Step 3: Cross multiply
491,445,706.14x = 678,190,609.61 × 268,427,341.38 - Step 4: Simplify right side
491,445,706.14x = 182,044,902,286,493,792 - Step 5: Solve for x
x = 182,044,902,286,493,792/491,445,706.14 - Step 6: Final answer
x = 370,427,292.40
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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.