Finding the Fourth Proportional to 781,588,643,625.36, 1,172,450,499,455.90 and 215,626,330,293.48
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Solution
The fourth proportional to 781,588,643,625.36, 1,172,450,499,455.90 and 215,626,330,293.48 is: 323,458,126,868.09
Step by Step Solution
- Step 1: Write the proportion equation
781,588,643,625.36 : 1,172,450,499,455.90 = 215,626,330,293.48 : x - Step 2: Convert to fraction form
781,588,643,625.36/1,172,450,499,455.90 = 215,626,330,293.48/x - Step 3: Cross multiply
781,588,643,625.36x = 1,172,450,499,455.90 × 215,626,330,293.48 - Step 4: Simplify right side
781,588,643,625.36x = 252,811,198,648,433,478,991,872 - Step 5: Solve for x
x = 252,811,198,648,433,478,991,872/781,588,643,625.36 - Step 6: Final answer
x = 323,458,126,868.09
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.