Finding the Fourth Proportional to 296,843,487.34, 409,643,853.70 and 162,882,283.20
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Solution
The fourth proportional to 296,843,487.34, 409,643,853.70 and 162,882,283.20 is: 224,777,463.66
Step by Step Solution
- Step 1: Write the proportion equation
296,843,487.34 : 409,643,853.70 = 162,882,283.20 : x - Step 2: Convert to fraction form
296,843,487.34/409,643,853.70 = 162,882,283.20/x - Step 3: Cross multiply
296,843,487.34x = 409,643,853.70 × 162,882,283.20 - Step 4: Simplify right side
296,843,487.34x = 66,723,726,189,502,760 - Step 5: Solve for x
x = 66,723,726,189,502,760/296,843,487.34 - Step 6: Final answer
x = 224,777,463.66
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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.