Finding the Fourth Proportional to 783,716.20, 1,175,574.30 and 409,853.80
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Solution
The fourth proportional to 783,716.20, 1,175,574.30 and 409,853.80 is: 614,780.70
Step by Step Solution
- Step 1: Write the proportion equation
783,716.20 : 1,175,574.30 = 409,853.80 : x - Step 2: Convert to fraction form
783,716.20/1,175,574.30 = 409,853.80/x - Step 3: Cross multiply
783,716.20x = 1,175,574.30 × 409,853.80 - Step 4: Simplify right side
783,716.20x = 481,813,594,037.34 - Step 5: Solve for x
x = 481,813,594,037.34/783,716.20 - Step 6: Final answer
x = 614,780.70
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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.