Finding the Fourth Proportional to 725,668,828.30, 1,001,508,000.33 and 412,450,124.62
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Solution
The fourth proportional to 725,668,828.30, 1,001,508,000.33 and 412,450,124.62 is: 569,229,493.45
Step by Step Solution
- Step 1: Write the proportion equation
725,668,828.30 : 1,001,508,000.33 = 412,450,124.62 : x - Step 2: Convert to fraction form
725,668,828.30/1,001,508,000.33 = 412,450,124.62/x - Step 3: Cross multiply
725,668,828.30x = 1,001,508,000.33 × 412,450,124.62 - Step 4: Simplify right side
725,668,828.30x = 413,072,099,544,035,520 - Step 5: Solve for x
x = 413,072,099,544,035,520/725,668,828.30 - Step 6: Final answer
x = 569,229,493.45
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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.