Finding the Fourth Proportional to 1,207,266,071.48, 1,810,896,846.78 and 378,283,176.44
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Solution
The fourth proportional to 1,207,266,071.48, 1,810,896,846.78 and 378,283,176.44 is: 567,424,056.38
Step by Step Solution
- Step 1: Write the proportion equation
1,207,266,071.48 : 1,810,896,846.78 = 378,283,176.44 : x - Step 2: Convert to fraction form
1,207,266,071.48/1,810,896,846.78 = 378,283,176.44/x - Step 3: Cross multiply
1,207,266,071.48x = 1,810,896,846.78 × 378,283,176.44 - Step 4: Simplify right side
1,207,266,071.48x = 685,031,811,405,118,336 - Step 5: Solve for x
x = 685,031,811,405,118,336/1,207,266,071.48 - Step 6: Final answer
x = 567,424,056.38
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1.5x scale
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.