Finding the Fourth Proportional to 284,741,270.67, 427,068,750.92 and 77,495,831.09
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Solution
The fourth proportional to 284,741,270.67, 427,068,750.92 and 77,495,831.09 is: 116,232,001.45
Step by Step Solution
- Step 1: Write the proportion equation
284,741,270.67 : 427,068,750.92 = 77,495,831.09 : x - Step 2: Convert to fraction form
284,741,270.67/427,068,750.92 = 77,495,831.09/x - Step 3: Cross multiply
284,741,270.67x = 427,068,750.92 × 77,495,831.09 - Step 4: Simplify right side
284,741,270.67x = 33,096,047,785,793,796 - Step 5: Solve for x
x = 33,096,047,785,793,796/284,741,270.67 - Step 6: Final answer
x = 116,232,001.45
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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.