Finding the Fourth Proportional to 785,739.84, 1,178,696.70 and 280,418.64
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Solution
The fourth proportional to 785,739.84, 1,178,696.70 and 280,418.64 is: 420,658.99
Step by Step Solution
- Step 1: Write the proportion equation
785,739.84 : 1,178,696.70 = 280,418.64 : x - Step 2: Convert to fraction form
785,739.84/1,178,696.70 = 280,418.64/x - Step 3: Cross multiply
785,739.84x = 1,178,696.70 × 280,418.64 - Step 4: Simplify right side
785,739.84x = 330,528,525,586.49 - Step 5: Solve for x
x = 330,528,525,586.49/785,739.84 - Step 6: Final answer
x = 420,658.99
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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.