Finding the Fourth Proportional to 299,980.64, 413,977.71 and 203,214.09
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Solution
The fourth proportional to 299,980.64, 413,977.71 and 203,214.09 is: 280,438.44
Step by Step Solution
- Step 1: Write the proportion equation
299,980.64 : 413,977.71 = 203,214.09 : x - Step 2: Convert to fraction form
299,980.64/413,977.71 = 203,214.09/x - Step 3: Cross multiply
299,980.64x = 413,977.71 × 203,214.09 - Step 4: Simplify right side
299,980.64x = 84,126,103,617.93 - Step 5: Solve for x
x = 84,126,103,617.93/299,980.64 - Step 6: Final answer
x = 280,438.44
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1.5x scale
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.