Finding the Fourth Proportional to 734,633.84, 1,013,739.12 and 412,281.65
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Solution
The fourth proportional to 734,633.84, 1,013,739.12 and 412,281.65 is: 568,917.49
Step by Step Solution
- Step 1: Write the proportion equation
734,633.84 : 1,013,739.12 = 412,281.65 : x - Step 2: Convert to fraction form
734,633.84/1,013,739.12 = 412,281.65/x - Step 3: Cross multiply
734,633.84x = 1,013,739.12 × 412,281.65 - Step 4: Simplify right side
734,633.84x = 417,946,039,597.50 - Step 5: Solve for x
x = 417,946,039,597.50/734,633.84 - Step 6: Final answer
x = 568,917.49
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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.