Finding the Fourth Proportional to 468,100,218.24, 645,983,048.16 and 282,425,356.80
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Solution
The fourth proportional to 468,100,218.24, 645,983,048.16 and 282,425,356.80 is: 389,749,856.45
Step by Step Solution
- Step 1: Write the proportion equation
468,100,218.24 : 645,983,048.16 = 282,425,356.80 : x - Step 2: Convert to fraction form
468,100,218.24/645,983,048.16 = 282,425,356.80/x - Step 3: Cross multiply
468,100,218.24x = 645,983,048.16 × 282,425,356.80 - Step 4: Simplify right side
468,100,218.24x = 182,441,992,863,339,584 - Step 5: Solve for x
x = 182,441,992,863,339,584/468,100,218.24 - Step 6: Final answer
x = 389,749,856.45
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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.