Finding the Fourth Proportional to 379,564,959,471.84, 523,807,644,201.12 and 208,285,392,487.68
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Solution
The fourth proportional to 379,564,959,471.84, 523,807,644,201.12 and 208,285,392,487.68 is: 287,438,231,685.80
Step by Step Solution
- Step 1: Write the proportion equation
379,564,959,471.84 : 523,807,644,201.12 = 208,285,392,487.68 : x - Step 2: Convert to fraction form
379,564,959,471.84/523,807,644,201.12 = 208,285,392,487.68/x - Step 3: Cross multiply
379,564,959,471.84x = 523,807,644,201.12 × 208,285,392,487.68 - Step 4: Simplify right side
379,564,959,471.84x = 109,101,480,760,477,315,235,840 - Step 5: Solve for x
x = 109,101,480,760,477,315,235,840/379,564,959,471.84 - Step 6: Final answer
x = 287,438,231,685.80
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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.