Finding the Fourth Proportional to 1,116,235,512.36, 1,674,353,267.98 and 416,782,271.95
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Solution
The fourth proportional to 1,116,235,512.36, 1,674,353,267.98 and 416,782,271.95 is: 625,173,407.71
Step by Step Solution
- Step 1: Write the proportion equation
1,116,235,512.36 : 1,674,353,267.98 = 416,782,271.95 : x - Step 2: Convert to fraction form
1,116,235,512.36/1,674,353,267.98 = 416,782,271.95/x - Step 3: Cross multiply
1,116,235,512.36x = 1,674,353,267.98 × 416,782,271.95 - Step 4: Simplify right side
1,116,235,512.36x = 697,840,759,070,383,744 - Step 5: Solve for x
x = 697,840,759,070,383,744/1,116,235,512.36 - Step 6: Final answer
x = 625,173,407.71
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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.