Finding the Fourth Proportional to 218,665,018,117.44, 327,467,855,021.76 and 151,323,562,869.12
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Solution
The fourth proportional to 218,665,018,117.44, 327,467,855,021.76 and 151,323,562,869.12 is: 226,618,793,319.68
Step by Step Solution
- Step 1: Write the proportion equation
218,665,018,117.44 : 327,467,855,021.76 = 151,323,562,869.12 : x - Step 2: Convert to fraction form
218,665,018,117.44/327,467,855,021.76 = 151,323,562,869.12/x - Step 3: Cross multiply
218,665,018,117.44x = 327,467,855,021.76 × 151,323,562,869.12 - Step 4: Simplify right side
218,665,018,117.44x = 49,553,602,547,001,172,426,752 - Step 5: Solve for x
x = 49,553,602,547,001,172,426,752/218,665,018,117.44 - Step 6: Final answer
x = 226,618,793,319.68
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1.5x scale
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.