Finding the Fourth Proportional to 860,825,493,756.40, 1,187,932,121,628.50 and 470,192,306,639.98
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Solution
The fourth proportional to 860,825,493,756.40, 1,187,932,121,628.50 and 470,192,306,639.98 is: 648,861,527,047.54
Step by Step Solution
- Step 1: Write the proportion equation
860,825,493,756.40 : 1,187,932,121,628.50 = 470,192,306,639.98 : x - Step 2: Convert to fraction form
860,825,493,756.40/1,187,932,121,628.50 = 470,192,306,639.98/x - Step 3: Cross multiply
860,825,493,756.40x = 1,187,932,121,628.50 × 470,192,306,639.98 - Step 4: Simplify right side
860,825,493,756.40x = 558,556,544,400,229,685,788,672 - Step 5: Solve for x
x = 558,556,544,400,229,685,788,672/860,825,493,756.40 - Step 6: Final answer
x = 648,861,527,047.54
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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.