Finding the Fourth Proportional to 730,782.09, 1,008,461.49 and 408,530.07
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Solution
The fourth proportional to 730,782.09, 1,008,461.49 and 408,530.07 is: 563,761.55
Step by Step Solution
- Step 1: Write the proportion equation
730,782.09 : 1,008,461.49 = 408,530.07 : x - Step 2: Convert to fraction form
730,782.09/1,008,461.49 = 408,530.07/x - Step 3: Cross multiply
730,782.09x = 1,008,461.49 × 408,530.07 - Step 4: Simplify right side
730,782.09x = 411,986,843,102.00 - Step 5: Solve for x
x = 411,986,843,102.00/730,782.09 - Step 6: Final answer
x = 563,761.55
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1.5x scale
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.