Finding the Fourth Proportional to 281,521,929.48, 422,282,048.94 and 71,432,208.42
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Solution
The fourth proportional to 281,521,929.48, 422,282,048.94 and 71,432,208.42 is: 107,148,098.15
Step by Step Solution
- Step 1: Write the proportion equation
281,521,929.48 : 422,282,048.94 = 71,432,208.42 : x - Step 2: Convert to fraction form
281,521,929.48/422,282,048.94 = 71,432,208.42/x - Step 3: Cross multiply
281,521,929.48x = 422,282,048.94 × 71,432,208.42 - Step 4: Simplify right side
281,521,929.48x = 30,164,539,331,906,720 - Step 5: Solve for x
x = 30,164,539,331,906,720/281,521,929.48 - Step 6: Final answer
x = 107,148,098.15
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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.