Finding the Fourth Proportional to 1,142,195,423.20, 1,713,293,134.80 and 280,552,415.20
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Solution
The fourth proportional to 1,142,195,423.20, 1,713,293,134.80 and 280,552,415.20 is: 420,828,622.80
Step by Step Solution
- Step 1: Write the proportion equation
1,142,195,423.20 : 1,713,293,134.80 = 280,552,415.20 : x - Step 2: Convert to fraction form
1,142,195,423.20/1,713,293,134.80 = 280,552,415.20/x - Step 3: Cross multiply
1,142,195,423.20x = 1,713,293,134.80 × 280,552,415.20 - Step 4: Simplify right side
1,142,195,423.20x = 480,668,526,913,719,104 - Step 5: Solve for x
x = 480,668,526,913,719,104/1,142,195,423.20 - Step 6: Final answer
x = 420,828,622.80
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Double scale
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Similar ratio
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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.