Finding the Fourth Proportional to 1,207,125,783.09, 1,810,688,814.84 and 378,144,024.93
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Solution
The fourth proportional to 1,207,125,783.09, 1,810,688,814.84 and 378,144,024.93 is: 567,216,081.32
Step by Step Solution
- Step 1: Write the proportion equation
1,207,125,783.09 : 1,810,688,814.84 = 378,144,024.93 : x - Step 2: Convert to fraction form
1,207,125,783.09/1,810,688,814.84 = 378,144,024.93/x - Step 3: Cross multiply
1,207,125,783.09x = 1,810,688,814.84 × 378,144,024.93 - Step 4: Simplify right side
1,207,125,783.09x = 684,701,156,339,329,152 - Step 5: Solve for x
x = 684,701,156,339,329,152/1,207,125,783.09 - Step 6: Final answer
x = 567,216,081.32
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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.