Finding the Fourth Proportional to 1,157,013,278.70, 1,596,782,439.09 and 655,344,078.99
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Solution
The fourth proportional to 1,157,013,278.70, 1,596,782,439.09 and 655,344,078.99 is: 904,433,800.51
Step by Step Solution
- Step 1: Write the proportion equation
1,157,013,278.70 : 1,596,782,439.09 = 655,344,078.99 : x - Step 2: Convert to fraction form
1,157,013,278.70/1,596,782,439.09 = 655,344,078.99/x - Step 3: Cross multiply
1,157,013,278.70x = 1,596,782,439.09 × 655,344,078.99 - Step 4: Simplify right side
1,157,013,278.70x = 1,046,441,916,892,841,728 - Step 5: Solve for x
x = 1,046,441,916,892,841,728/1,157,013,278.70 - Step 6: Final answer
x = 904,433,800.51
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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.