Finding the Fourth Proportional to 400,148,648.46, 552,193,274.88 and 221,540,497.05
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Solution
The fourth proportional to 400,148,648.46, 552,193,274.88 and 221,540,497.05 is: 305,719,319.70
Step by Step Solution
- Step 1: Write the proportion equation
400,148,648.46 : 552,193,274.88 = 221,540,497.05 : x - Step 2: Convert to fraction form
400,148,648.46/552,193,274.88 = 221,540,497.05/x - Step 3: Cross multiply
400,148,648.46x = 552,193,274.88 × 221,540,497.05 - Step 4: Simplify right side
400,148,648.46x = 122,333,172,584,582,480 - Step 5: Solve for x
x = 122,333,172,584,582,480/400,148,648.46 - Step 6: Final answer
x = 305,719,319.70
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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.