Finding the Fourth Proportional to 294,439,732.96, 406,321,497.84 and 160,478,808.16
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Solution
The fourth proportional to 294,439,732.96, 406,321,497.84 and 160,478,808.16 is: 221,457,848.26
Step by Step Solution
- Step 1: Write the proportion equation
294,439,732.96 : 406,321,497.84 = 160,478,808.16 : x - Step 2: Convert to fraction form
294,439,732.96/406,321,497.84 = 160,478,808.16/x - Step 3: Cross multiply
294,439,732.96x = 406,321,497.84 × 160,478,808.16 - Step 4: Simplify right side
294,439,732.96x = 65,205,989,703,149,208 - Step 5: Solve for x
x = 65,205,989,703,149,208/294,439,732.96 - Step 6: Final answer
x = 221,457,848.26
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.