Finding the Fourth Proportional to 472,330,863.20, 708,595,827.60 and 199,561,224.80
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Solution
The fourth proportional to 472,330,863.20, 708,595,827.60 and 199,561,224.80 is: 299,383,890.11
Step by Step Solution
- Step 1: Write the proportion equation
472,330,863.20 : 708,595,827.60 = 199,561,224.80 : x - Step 2: Convert to fraction form
472,330,863.20/708,595,827.60 = 199,561,224.80/x - Step 3: Cross multiply
472,330,863.20x = 708,595,827.60 × 199,561,224.80 - Step 4: Simplify right side
472,330,863.20x = 141,408,251,244,025,664 - Step 5: Solve for x
x = 141,408,251,244,025,664/472,330,863.20 - Step 6: Final answer
x = 299,383,890.11
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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.