Finding the Fourth Proportional to 800,774.16, 1,201,462.56 and 416,283.36
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Solution
The fourth proportional to 800,774.16, 1,201,462.56 and 416,283.36 is: 624,581.68
Step by Step Solution
- Step 1: Write the proportion equation
800,774.16 : 1,201,462.56 = 416,283.36 : x - Step 2: Convert to fraction form
800,774.16/1,201,462.56 = 416,283.36/x - Step 3: Cross multiply
800,774.16x = 1,201,462.56 × 416,283.36 - Step 4: Simplify right side
800,774.16x = 500,148,871,391.00 - Step 5: Solve for x
x = 500,148,871,391.00/800,774.16 - Step 6: Final answer
x = 624,581.68
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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.