Finding the Fourth Proportional to 971,231.70, 1,456,329.15 and 409,631.70
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Solution
The fourth proportional to 971,231.70, 1,456,329.15 and 409,631.70 is: 614,228.91
Step by Step Solution
- Step 1: Write the proportion equation
971,231.70 : 1,456,329.15 = 409,631.70 : x - Step 2: Convert to fraction form
971,231.70/1,456,329.15 = 409,631.70/x - Step 3: Cross multiply
971,231.70x = 1,456,329.15 × 409,631.70 - Step 4: Simplify right side
971,231.70x = 596,558,585,474.06 - Step 5: Solve for x
x = 596,558,585,474.06/971,231.70 - Step 6: Final answer
x = 614,228.91
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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.