Finding the Fourth Proportional to 414,511,918.95, 572,029,213.55 and 226,341,519.40
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Solution
The fourth proportional to 414,511,918.95, 572,029,213.55 and 226,341,519.40 is: 312,352,806.80
Step by Step Solution
- Step 1: Write the proportion equation
414,511,918.95 : 572,029,213.55 = 226,341,519.40 : x - Step 2: Convert to fraction form
414,511,918.95/572,029,213.55 = 226,341,519.40/x - Step 3: Cross multiply
414,511,918.95x = 572,029,213.55 × 226,341,519.40 - Step 4: Simplify right side
414,511,918.95x = 129,473,961,336,094,064 - Step 5: Solve for x
x = 129,473,961,336,094,064/414,511,918.95 - Step 6: Final answer
x = 312,352,806.80
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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.