Finding the Fourth Proportional to 262,106,496,177.80, 393,159,744,266.70 and 254,759,855,793.80
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Solution
The fourth proportional to 262,106,496,177.80, 393,159,744,266.70 and 254,759,855,793.80 is: 382,139,783,690.70
Step by Step Solution
- Step 1: Write the proportion equation
262,106,496,177.80 : 393,159,744,266.70 = 254,759,855,793.80 : x - Step 2: Convert to fraction form
262,106,496,177.80/393,159,744,266.70 = 254,759,855,793.80/x - Step 3: Cross multiply
262,106,496,177.80x = 393,159,744,266.70 × 254,759,855,793.80 - Step 4: Simplify right side
262,106,496,177.80x = 100,161,319,753,311,783,485,440 - Step 5: Solve for x
x = 100,161,319,753,311,783,485,440/262,106,496,177.80 - Step 6: Final answer
x = 382,139,783,690.70
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1.5x scale
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.