Finding the Fourth Proportional to 264,143,342,242.20, 396,421,637,624.10 and 122,670,293,675.70
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Solution
The fourth proportional to 264,143,342,242.20, 396,421,637,624.10 and 122,670,293,675.70 is: 184,101,398,482.95
Step by Step Solution
- Step 1: Write the proportion equation
264,143,342,242.20 : 396,421,637,624.10 = 122,670,293,675.70 : x - Step 2: Convert to fraction form
264,143,342,242.20/396,421,637,624.10 = 122,670,293,675.70/x - Step 3: Cross multiply
264,143,342,242.20x = 396,421,637,624.10 × 122,670,293,675.70 - Step 4: Simplify right side
264,143,342,242.20x = 48,629,158,706,750,269,947,904 - Step 5: Solve for x
x = 48,629,158,706,750,269,947,904/264,143,342,242.20 - Step 6: Final answer
x = 184,101,398,482.95
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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.