Finding the Fourth Proportional to 1,112,166,163.70, 1,668,249,245.55 and 294,361,133.30
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Solution
The fourth proportional to 1,112,166,163.70, 1,668,249,245.55 and 294,361,133.30 is: 441,541,699.95
Step by Step Solution
- Step 1: Write the proportion equation
1,112,166,163.70 : 1,668,249,245.55 = 294,361,133.30 : x - Step 2: Convert to fraction form
1,112,166,163.70/1,668,249,245.55 = 294,361,133.30/x - Step 3: Cross multiply
1,112,166,163.70x = 1,668,249,245.55 × 294,361,133.30 - Step 4: Simplify right side
1,112,166,163.70x = 491,067,738,546,968,000 - Step 5: Solve for x
x = 491,067,738,546,968,000/1,112,166,163.70 - Step 6: Final answer
x = 441,541,699.95
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Double scale
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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.