Finding the Fourth Proportional to 456,199,460.40, 682,955,497.80 and 429,624,202.80
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Solution
The fourth proportional to 456,199,460.40, 682,955,497.80 and 429,624,202.80 is: 643,170,886.33
Step by Step Solution
- Step 1: Write the proportion equation
456,199,460.40 : 682,955,497.80 = 429,624,202.80 : x - Step 2: Convert to fraction form
456,199,460.40/682,955,497.80 = 429,624,202.80/x - Step 3: Cross multiply
456,199,460.40x = 682,955,497.80 × 429,624,202.80 - Step 4: Simplify right side
456,199,460.40x = 293,414,211,290,202,112 - Step 5: Solve for x
x = 293,414,211,290,202,112/456,199,460.40 - Step 6: Final answer
x = 643,170,886.33
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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.