Finding the Fourth Proportional to 501,175,761,245.72, 751,817,440,102.36 and 214,363,605,032.26
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Solution
The fourth proportional to 501,175,761,245.72, 751,817,440,102.36 and 214,363,605,032.26 is: 321,568,418,204.99
Step by Step Solution
- Step 1: Write the proportion equation
501,175,761,245.72 : 751,817,440,102.36 = 214,363,605,032.26 : x - Step 2: Convert to fraction form
501,175,761,245.72/751,817,440,102.36 = 214,363,605,032.26/x - Step 3: Cross multiply
501,175,761,245.72x = 751,817,440,102.36 × 214,363,605,032.26 - Step 4: Simplify right side
501,175,761,245.72x = 161,162,296,786,467,107,635,200 - Step 5: Solve for x
x = 161,162,296,786,467,107,635,200/501,175,761,245.72 - Step 6: Final answer
x = 321,568,418,204.99
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.