Finding the Fourth Proportional to 257,794,968,452.46, 355,775,859,271.35 and 149,436,040,482.42
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Solution
The fourth proportional to 257,794,968,452.46, 355,775,859,271.35 and 149,436,040,482.42 is: 206,232,635,291.12
Step by Step Solution
- Step 1: Write the proportion equation
257,794,968,452.46 : 355,775,859,271.35 = 149,436,040,482.42 : x - Step 2: Convert to fraction form
257,794,968,452.46/355,775,859,271.35 = 149,436,040,482.42/x - Step 3: Cross multiply
257,794,968,452.46x = 355,775,859,271.35 × 149,436,040,482.42 - Step 4: Simplify right side
257,794,968,452.46x = 53,165,735,708,741,217,550,336 - Step 5: Solve for x
x = 53,165,735,708,741,217,550,336/257,794,968,452.46 - Step 6: Final answer
x = 206,232,635,291.12
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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.