Finding the Fourth Proportional to 497,678,407.20, 746,517,610.80 and 174,528,583.20
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Solution
The fourth proportional to 497,678,407.20, 746,517,610.80 and 174,528,583.20 is: 261,792,874.80
Step by Step Solution
- Step 1: Write the proportion equation
497,678,407.20 : 746,517,610.80 = 174,528,583.20 : x - Step 2: Convert to fraction form
497,678,407.20/746,517,610.80 = 174,528,583.20/x - Step 3: Cross multiply
497,678,407.20x = 746,517,610.80 × 174,528,583.20 - Step 4: Simplify right side
497,678,407.20x = 130,288,660,946,773,008 - Step 5: Solve for x
x = 130,288,660,946,773,008/497,678,407.20 - Step 6: Final answer
x = 261,792,874.80
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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.