Finding the Fourth Proportional to 1,461,620,485.76, 2,191,555,169.21 and 465,211,112.19
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Solution
The fourth proportional to 1,461,620,485.76, 2,191,555,169.21 and 465,211,112.19 is: 697,537,991.31
Step by Step Solution
- Step 1: Write the proportion equation
1,461,620,485.76 : 2,191,555,169.21 = 465,211,112.19 : x - Step 2: Convert to fraction form
1,461,620,485.76/2,191,555,169.21 = 465,211,112.19/x - Step 3: Cross multiply
1,461,620,485.76x = 2,191,555,169.21 × 465,211,112.19 - Step 4: Simplify right side
1,461,620,485.76x = 1,019,535,817,691,601,664 - Step 5: Solve for x
x = 1,019,535,817,691,601,664/1,461,620,485.76 - Step 6: Final answer
x = 697,537,991.31
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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.