Finding the Fourth Proportional to 2,098,543,257.84, 3,148,904,313.12 and 855,885,396.32
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Solution
The fourth proportional to 2,098,543,257.84, 3,148,904,313.12 and 855,885,396.32 is: 1,284,272,414.18
Step by Step Solution
- Step 1: Write the proportion equation
2,098,543,257.84 : 3,148,904,313.12 = 855,885,396.32 : x - Step 2: Convert to fraction form
2,098,543,257.84/3,148,904,313.12 = 855,885,396.32/x - Step 3: Cross multiply
2,098,543,257.84x = 3,148,904,313.12 × 855,885,396.32 - Step 4: Simplify right side
2,098,543,257.84x = 2,695,101,216,008,468,480 - Step 5: Solve for x
x = 2,695,101,216,008,468,480/2,098,543,257.84 - Step 6: Final answer
x = 1,284,272,414.18
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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.