Finding the Fourth Proportional to 200,786,013.36, 277,337,261.07 and 165,631,213.08
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Solution
The fourth proportional to 200,786,013.36, 277,337,261.07 and 165,631,213.08 is: 228,779,416.53
Step by Step Solution
- Step 1: Write the proportion equation
200,786,013.36 : 277,337,261.07 = 165,631,213.08 : x - Step 2: Convert to fraction form
200,786,013.36/277,337,261.07 = 165,631,213.08/x - Step 3: Cross multiply
200,786,013.36x = 277,337,261.07 × 165,631,213.08 - Step 4: Simplify right side
200,786,013.36x = 45,935,706,983,308,760 - Step 5: Solve for x
x = 45,935,706,983,308,760/200,786,013.36 - Step 6: Final answer
x = 228,779,416.53
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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.