Finding the Fourth Proportional to 1,270,263,830.75, 1,905,184,408.97 and 384,738,652.92
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Solution
The fourth proportional to 1,270,263,830.75, 1,905,184,408.97 and 384,738,652.92 is: 577,043,969.39
Step by Step Solution
- Step 1: Write the proportion equation
1,270,263,830.75 : 1,905,184,408.97 = 384,738,652.92 : x - Step 2: Convert to fraction form
1,270,263,830.75/1,905,184,408.97 = 384,738,652.92/x - Step 3: Cross multiply
1,270,263,830.75x = 1,905,184,408.97 × 384,738,652.92 - Step 4: Simplify right side
1,270,263,830.75x = 732,998,083,069,380,480 - Step 5: Solve for x
x = 732,998,083,069,380,480/1,270,263,830.75 - Step 6: Final answer
x = 577,043,969.39
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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.