Finding the Fourth Proportional to 280,493,814.58, 387,119,914.12 and 161,413,960.92
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Solution
The fourth proportional to 280,493,814.58, 387,119,914.12 and 161,413,960.92 is: 222,773,392.64
Step by Step Solution
- Step 1: Write the proportion equation
280,493,814.58 : 387,119,914.12 = 161,413,960.92 : x - Step 2: Convert to fraction form
280,493,814.58/387,119,914.12 = 161,413,960.92/x - Step 3: Cross multiply
280,493,814.58x = 387,119,914.12 × 161,413,960.92 - Step 4: Simplify right side
280,493,814.58x = 62,486,558,689,119,432 - Step 5: Solve for x
x = 62,486,558,689,119,432/280,493,814.58 - Step 6: Final answer
x = 222,773,392.64
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1.5x scale
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.