Finding the Fourth Proportional to 381,240,372,260.08, 526,168,911,331.98 and 289,638,186,901.06
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Solution
The fourth proportional to 381,240,372,260.08, 526,168,911,331.98 and 289,638,186,901.06 is: 399,744,152,431.83
Step by Step Solution
- Step 1: Write the proportion equation
381,240,372,260.08 : 526,168,911,331.98 = 289,638,186,901.06 : x - Step 2: Convert to fraction form
381,240,372,260.08/526,168,911,331.98 = 289,638,186,901.06/x - Step 3: Cross multiply
381,240,372,260.08x = 526,168,911,331.98 × 289,638,186,901.06 - Step 4: Simplify right side
381,240,372,260.08x = 152,398,609,481,899,278,598,144 - Step 5: Solve for x
x = 152,398,609,481,899,278,598,144/381,240,372,260.08 - Step 6: Final answer
x = 399,744,152,431.83
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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.