Finding the Fourth Proportional to 284,212,682.50, 392,214,682.84 and 153,832,490.50
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Solution
The fourth proportional to 284,212,682.50, 392,214,682.84 and 153,832,490.50 is: 212,289,476.11
Step by Step Solution
- Step 1: Write the proportion equation
284,212,682.50 : 392,214,682.84 = 153,832,490.50 : x - Step 2: Convert to fraction form
284,212,682.50/392,214,682.84 = 153,832,490.50/x - Step 3: Cross multiply
284,212,682.50x = 392,214,682.84 × 153,832,490.50 - Step 4: Simplify right side
284,212,682.50x = 60,335,361,471,944,808 - Step 5: Solve for x
x = 60,335,361,471,944,808/284,212,682.50 - Step 6: Final answer
x = 212,289,476.11
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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.