Finding the Fourth Proportional to 357,401,412.99, 493,160,213.30 and 200,738,506.23
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Solution
The fourth proportional to 357,401,412.99, 493,160,213.30 and 200,738,506.23 is: 276,988,956.82
Step by Step Solution
- Step 1: Write the proportion equation
357,401,412.99 : 493,160,213.30 = 200,738,506.23 : x - Step 2: Convert to fraction form
357,401,412.99/493,160,213.30 = 200,738,506.23/x - Step 3: Cross multiply
357,401,412.99x = 493,160,213.30 × 200,738,506.23 - Step 4: Simplify right side
357,401,412.99x = 98,996,244,548,906,480 - Step 5: Solve for x
x = 98,996,244,548,906,480/357,401,412.99 - Step 6: Final answer
x = 276,988,956.82
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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.