Finding the Fourth Proportional to 513,368.68, 770,723.70 and 412,220.74
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Solution
The fourth proportional to 513,368.68, 770,723.70 and 412,220.74 is: 618,869.65
Step by Step Solution
- Step 1: Write the proportion equation
513,368.68 : 770,723.70 = 412,220.74 : x - Step 2: Convert to fraction form
513,368.68/770,723.70 = 412,220.74/x - Step 3: Cross multiply
513,368.68x = 770,723.70 × 412,220.74 - Step 4: Simplify right side
513,368.68x = 317,708,293,949.54 - Step 5: Solve for x
x = 317,708,293,949.54/513,368.68 - Step 6: Final answer
x = 618,869.65
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.