Finding the Fourth Proportional to 1,516,565,564.70, 2,274,848,347.05 and 739,811,399.10
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Solution
The fourth proportional to 1,516,565,564.70, 2,274,848,347.05 and 739,811,399.10 is: 1,109,717,098.65
Step by Step Solution
- Step 1: Write the proportion equation
1,516,565,564.70 : 2,274,848,347.05 = 739,811,399.10 : x - Step 2: Convert to fraction form
1,516,565,564.70/2,274,848,347.05 = 739,811,399.10/x - Step 3: Cross multiply
1,516,565,564.70x = 2,274,848,347.05 × 739,811,399.10 - Step 4: Simplify right side
1,516,565,564.70x = 1,682,958,738,371,383,040 - Step 5: Solve for x
x = 1,682,958,738,371,383,040/1,516,565,564.70 - Step 6: Final answer
x = 1,109,717,098.65
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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.