Finding the Fourth Proportional to 285,122,497.32, 393,469,207.74 and 154,742,305.32
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Solution
The fourth proportional to 285,122,497.32, 393,469,207.74 and 154,742,305.32 is: 213,544,468.96
Step by Step Solution
- Step 1: Write the proportion equation
285,122,497.32 : 393,469,207.74 = 154,742,305.32 : x - Step 2: Convert to fraction form
285,122,497.32/393,469,207.74 = 154,742,305.32/x - Step 3: Cross multiply
285,122,497.32x = 393,469,207.74 × 154,742,305.32 - Step 4: Simplify right side
285,122,497.32x = 60,886,332,278,121,584 - Step 5: Solve for x
x = 60,886,332,278,121,584/285,122,497.32 - Step 6: Final answer
x = 213,544,468.96
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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.