Finding the Fourth Proportional to 513,586.42, 708,770.14 and 284,139.74
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Solution
The fourth proportional to 513,586.42, 708,770.14 and 284,139.74 is: 392,124.39
Step by Step Solution
- Step 1: Write the proportion equation
513,586.42 : 708,770.14 = 284,139.74 : x - Step 2: Convert to fraction form
513,586.42/708,770.14 = 284,139.74/x - Step 3: Cross multiply
513,586.42x = 708,770.14 × 284,139.74 - Step 4: Simplify right side
513,586.42x = 201,389,763,299.36 - Step 5: Solve for x
x = 201,389,763,299.36/513,586.42 - Step 6: Final answer
x = 392,124.39
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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.