Finding the Fourth Proportional to 381,885,193,664.70, 572,827,790,497.05 and 158,220,808,640.70
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Solution
The fourth proportional to 381,885,193,664.70, 572,827,790,497.05 and 158,220,808,640.70 is: 237,331,212,961.05
Step by Step Solution
- Step 1: Write the proportion equation
381,885,193,664.70 : 572,827,790,497.05 = 158,220,808,640.70 : x - Step 2: Convert to fraction form
381,885,193,664.70/572,827,790,497.05 = 158,220,808,640.70/x - Step 3: Cross multiply
381,885,193,664.70x = 572,827,790,497.05 × 158,220,808,640.70 - Step 4: Simplify right side
381,885,193,664.70x = 90,633,276,224,308,751,892,480 - Step 5: Solve for x
x = 90,633,276,224,308,751,892,480/381,885,193,664.70 - Step 6: Final answer
x = 237,331,212,961.05
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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.