Finding the Fourth Proportional to 1,207,266,047.32, 1,810,896,810.78 and 378,283,152.44
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Solution
The fourth proportional to 1,207,266,047.32, 1,810,896,810.78 and 378,283,152.44 is: 567,424,020.45
Step by Step Solution
- Step 1: Write the proportion equation
1,207,266,047.32 : 1,810,896,810.78 = 378,283,152.44 : x - Step 2: Convert to fraction form
1,207,266,047.32/1,810,896,810.78 = 378,283,152.44/x - Step 3: Cross multiply
1,207,266,047.32x = 1,810,896,810.78 × 378,283,152.44 - Step 4: Simplify right side
1,207,266,047.32x = 685,031,754,325,400,576 - Step 5: Solve for x
x = 685,031,754,325,400,576/1,207,266,047.32 - Step 6: Final answer
x = 567,424,020.45
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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.