Finding the Fourth Proportional to 296,228,231.44, 409,069,747.34 and 221,759,507.28
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Solution
The fourth proportional to 296,228,231.44, 409,069,747.34 and 221,759,507.28 is: 306,233,829.14
Step by Step Solution
- Step 1: Write the proportion equation
296,228,231.44 : 409,069,747.34 = 221,759,507.28 : x - Step 2: Convert to fraction form
296,228,231.44/409,069,747.34 = 221,759,507.28/x - Step 3: Cross multiply
296,228,231.44x = 409,069,747.34 × 221,759,507.28 - Step 4: Simplify right side
296,228,231.44x = 90,715,105,613,272,480 - Step 5: Solve for x
x = 90,715,105,613,272,480/296,228,231.44 - Step 6: Final answer
x = 306,233,829.14
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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.