Finding the Fourth Proportional to 1,611,143,197.15, 2,416,715,465.65 and 724,793,267.43
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Solution
The fourth proportional to 1,611,143,197.15, 2,416,715,465.65 and 724,793,267.43 is: 1,087,190,202.51
Step by Step Solution
- Step 1: Write the proportion equation
1,611,143,197.15 : 2,416,715,465.65 = 724,793,267.43 : x - Step 2: Convert to fraction form
1,611,143,197.15/2,416,715,465.65 = 724,793,267.43/x - Step 3: Cross multiply
1,611,143,197.15x = 2,416,715,465.65 × 724,793,267.43 - Step 4: Simplify right side
1,611,143,197.15x = 1,751,619,098,781,369,856 - Step 5: Solve for x
x = 1,751,619,098,781,369,856/1,611,143,197.15 - Step 6: Final answer
x = 1,087,190,202.51
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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.