Finding the Fourth Proportional to 1,192,105,405.81, 1,788,021,896.16 and 318,774,878.44
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Solution
The fourth proportional to 1,192,105,405.81, 1,788,021,896.16 and 318,774,878.44 is: 478,125,893.75
Step by Step Solution
- Step 1: Write the proportion equation
1,192,105,405.81 : 1,788,021,896.16 = 318,774,878.44 : x - Step 2: Convert to fraction form
1,192,105,405.81/1,788,021,896.16 = 318,774,878.44/x - Step 3: Cross multiply
1,192,105,405.81x = 1,788,021,896.16 × 318,774,878.44 - Step 4: Simplify right side
1,192,105,405.81x = 569,976,462,596,462,336 - Step 5: Solve for x
x = 569,976,462,596,462,336/1,192,105,405.81 - Step 6: Final answer
x = 478,125,893.75
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1.5x scale
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.