Finding the Fourth Proportional to 298,729,972.28, 412,252,438.84 and 164,783,257.12
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Solution
The fourth proportional to 298,729,972.28, 412,252,438.84 and 164,783,257.12 is: 227,403,695.42
Step by Step Solution
- Step 1: Write the proportion equation
298,729,972.28 : 412,252,438.84 = 164,783,257.12 : x - Step 2: Convert to fraction form
298,729,972.28/412,252,438.84 = 164,783,257.12/x - Step 3: Cross multiply
298,729,972.28x = 412,252,438.84 × 164,783,257.12 - Step 4: Simplify right side
298,729,972.28x = 67,932,299,627,718,792 - Step 5: Solve for x
x = 67,932,299,627,718,792/298,729,972.28 - Step 6: Final answer
x = 227,403,695.42
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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.