Finding the Fourth Proportional to 230,001,829.20, 317,365,087.68 and 135,902,892.24
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Solution
The fourth proportional to 230,001,829.20, 317,365,087.68 and 135,902,892.24 is: 187,523,870.84
Step by Step Solution
- Step 1: Write the proportion equation
230,001,829.20 : 317,365,087.68 = 135,902,892.24 : x - Step 2: Convert to fraction form
230,001,829.20/317,365,087.68 = 135,902,892.24/x - Step 3: Cross multiply
230,001,829.20x = 317,365,087.68 × 135,902,892.24 - Step 4: Simplify right side
230,001,829.20x = 43,130,833,311,713,192 - Step 5: Solve for x
x = 43,130,833,311,713,192/230,001,829.20 - Step 6: Final answer
x = 187,523,870.84
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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.