Finding the Fourth Proportional to 276,729,767,944.84, 381,876,845,154.42 and 149,997,500,342.92
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Solution
The fourth proportional to 276,729,767,944.84, 381,876,845,154.42 and 149,997,500,342.92 is: 206,991,002,946.32
Step by Step Solution
- Step 1: Write the proportion equation
276,729,767,944.84 : 381,876,845,154.42 = 149,997,500,342.92 : x - Step 2: Convert to fraction form
276,729,767,944.84/381,876,845,154.42 = 149,997,500,342.92/x - Step 3: Cross multiply
276,729,767,944.84x = 381,876,845,154.42 × 149,997,500,342.92 - Step 4: Simplify right side
276,729,767,944.84x = 57,280,572,212,003,326,656,512 - Step 5: Solve for x
x = 57,280,572,212,003,326,656,512/276,729,767,944.84 - Step 6: Final answer
x = 206,991,002,946.32
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1.5x scale
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.