Finding the Fourth Proportional to 216,206,419.32, 324,827,007.84 and 138,635,302.68
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Solution
The fourth proportional to 216,206,419.32, 324,827,007.84 and 138,635,302.68 is: 208,284,706.31
Step by Step Solution
- Step 1: Write the proportion equation
216,206,419.32 : 324,827,007.84 = 138,635,302.68 : x - Step 2: Convert to fraction form
216,206,419.32/324,827,007.84 = 138,635,302.68/x - Step 3: Cross multiply
216,206,419.32x = 324,827,007.84 × 138,635,302.68 - Step 4: Simplify right side
216,206,419.32x = 45,032,490,550,537,128 - Step 5: Solve for x
x = 45,032,490,550,537,128/216,206,419.32 - Step 6: Final answer
x = 208,284,706.31
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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.