Finding the Fourth Proportional to 288,735,174.10, 433,102,761.15 and 256,990,431.70
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Solution
The fourth proportional to 288,735,174.10, 433,102,761.15 and 256,990,431.70 is: 385,485,647.55
Step by Step Solution
- Step 1: Write the proportion equation
288,735,174.10 : 433,102,761.15 = 256,990,431.70 : x - Step 2: Convert to fraction form
288,735,174.10/433,102,761.15 = 256,990,431.70/x - Step 3: Cross multiply
288,735,174.10x = 433,102,761.15 × 256,990,431.70 - Step 4: Simplify right side
288,735,174.10x = 111,303,265,558,400,480 - Step 5: Solve for x
x = 111,303,265,558,400,480/288,735,174.10 - Step 6: Final answer
x = 385,485,647.55
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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.