Finding the Fourth Proportional to 1,412,775,214.88, 1,949,610,753.23 and 786,243,476.75
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Solution
The fourth proportional to 1,412,775,214.88, 1,949,610,753.23 and 786,243,476.75 is: 1,085,005,399.85
Step by Step Solution
- Step 1: Write the proportion equation
1,412,775,214.88 : 1,949,610,753.23 = 786,243,476.75 : x - Step 2: Convert to fraction form
1,412,775,214.88/1,949,610,753.23 = 786,243,476.75/x - Step 3: Cross multiply
1,412,775,214.88x = 1,949,610,753.23 × 786,243,476.75 - Step 4: Simplify right side
1,412,775,214.88x = 1,532,868,736,915,062,272 - Step 5: Solve for x
x = 1,532,868,736,915,062,272/1,412,775,214.88 - Step 6: Final answer
x = 1,085,005,399.85
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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.