Finding the Fourth Proportional to 282,688,557.98, 423,541,430.34 and 198,379,134.27
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Solution
The fourth proportional to 282,688,557.98, 423,541,430.34 and 198,379,134.27 is: 297,223,852.56
Step by Step Solution
- Step 1: Write the proportion equation
282,688,557.98 : 423,541,430.34 = 198,379,134.27 : x - Step 2: Convert to fraction form
282,688,557.98/423,541,430.34 = 198,379,134.27/x - Step 3: Cross multiply
282,688,557.98x = 423,541,430.34 × 198,379,134.27 - Step 4: Simplify right side
282,688,557.98x = 84,021,782,278,326,704 - Step 5: Solve for x
x = 84,021,782,278,326,704/282,688,557.98 - Step 6: Final answer
x = 297,223,852.56
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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.