Finding the Fourth Proportional to 274,221,745.49, 411,363,831.20 and 99,427,096.14
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Solution
The fourth proportional to 274,221,745.49, 411,363,831.20 and 99,427,096.14 is: 149,151,961.38
Step by Step Solution
- Step 1: Write the proportion equation
274,221,745.49 : 411,363,831.20 = 99,427,096.14 : x - Step 2: Convert to fraction form
274,221,745.49/411,363,831.20 = 99,427,096.14/x - Step 3: Cross multiply
274,221,745.49x = 411,363,831.20 × 99,427,096.14 - Step 4: Simplify right side
274,221,745.49x = 40,900,711,192,743,992 - Step 5: Solve for x
x = 40,900,711,192,743,992/274,221,745.49 - Step 6: Final answer
x = 149,151,961.38
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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.