Finding the Fourth Proportional to 297,469,824.54, 410,518,326.79 and 165,316,391.07
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Solution
The fourth proportional to 297,469,824.54, 410,518,326.79 and 165,316,391.07 is: 228,142,159.82
Step by Step Solution
- Step 1: Write the proportion equation
297,469,824.54 : 410,518,326.79 = 165,316,391.07 : x - Step 2: Convert to fraction form
297,469,824.54/410,518,326.79 = 165,316,391.07/x - Step 3: Cross multiply
297,469,824.54x = 410,518,326.79 × 165,316,391.07 - Step 4: Simplify right side
297,469,824.54x = 67,865,408,250,551,816 - Step 5: Solve for x
x = 67,865,408,250,551,816/297,469,824.54 - Step 6: Final answer
x = 228,142,159.82
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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.