Finding the Fourth Proportional to 1,435,438,475.82, 2,153,157,716.64 and 344,921,545.26
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Solution
The fourth proportional to 1,435,438,475.82, 2,153,157,716.64 and 344,921,545.26 is: 517,382,318.59
Step by Step Solution
- Step 1: Write the proportion equation
1,435,438,475.82 : 2,153,157,716.64 = 344,921,545.26 : x - Step 2: Convert to fraction form
1,435,438,475.82/2,153,157,716.64 = 344,921,545.26/x - Step 3: Cross multiply
1,435,438,475.82x = 2,153,157,716.64 × 344,921,545.26 - Step 4: Simplify right side
1,435,438,475.82x = 742,670,486,811,961,984 - Step 5: Solve for x
x = 742,670,486,811,961,984/1,435,438,475.82 - Step 6: Final answer
x = 517,382,318.59
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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.