Finding the Fourth Proportional to 1,023,912,068.99, 1,412,997,740.84 and 577,969,299.23
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Solution
The fourth proportional to 1,023,912,068.99, 1,412,997,740.84 and 577,969,299.23 is: 797,597,116.80
Step by Step Solution
- Step 1: Write the proportion equation
1,023,912,068.99 : 1,412,997,740.84 = 577,969,299.23 : x - Step 2: Convert to fraction form
1,023,912,068.99/1,412,997,740.84 = 577,969,299.23/x - Step 3: Cross multiply
1,023,912,068.99x = 1,412,997,740.84 × 577,969,299.23 - Step 4: Simplify right side
1,023,912,068.99x = 816,669,314,083,978,112 - Step 5: Solve for x
x = 816,669,314,083,978,112/1,023,912,068.99 - Step 6: Final answer
x = 797,597,116.80
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.