Finding the Fourth Proportional to 279,133,284.74, 418,745,409.30 and 82,416,584.09
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Solution
The fourth proportional to 279,133,284.74, 418,745,409.30 and 82,416,584.09 is: 123,638,305.15
Step by Step Solution
- Step 1: Write the proportion equation
279,133,284.74 : 418,745,409.30 = 82,416,584.09 : x - Step 2: Convert to fraction form
279,133,284.74/418,745,409.30 = 82,416,584.09/x - Step 3: Cross multiply
279,133,284.74x = 418,745,409.30 × 82,416,584.09 - Step 4: Simplify right side
279,133,284.74x = 34,511,566,235,781,188 - Step 5: Solve for x
x = 34,511,566,235,781,188/279,133,284.74 - Step 6: Final answer
x = 123,638,305.15
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.