Finding the Fourth Proportional to 274,297,647,686.86, 378,445,355,060.70 and 158,512,225,423.71
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Solution
The fourth proportional to 274,297,647,686.86, 378,445,355,060.70 and 158,512,225,423.71 is: 218,697,520,514.00
Step by Step Solution
- Step 1: Write the proportion equation
274,297,647,686.86 : 378,445,355,060.70 = 158,512,225,423.71 : x - Step 2: Convert to fraction form
274,297,647,686.86/378,445,355,060.70 = 158,512,225,423.71/x - Step 3: Cross multiply
274,297,647,686.86x = 378,445,355,060.70 × 158,512,225,423.71 - Step 4: Simplify right side
274,297,647,686.86x = 59,988,215,431,937,646,395,392 - Step 5: Solve for x
x = 59,988,215,431,937,646,395,392/274,297,647,686.86 - Step 6: Final answer
x = 218,697,520,514.00
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1.5x scale
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.