Finding the Fourth Proportional to 280,483,522.20, 420,725,283.30 and 260,076,187.80
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Solution
The fourth proportional to 280,483,522.20, 420,725,283.30 and 260,076,187.80 is: 390,114,281.70
Step by Step Solution
- Step 1: Write the proportion equation
280,483,522.20 : 420,725,283.30 = 260,076,187.80 : x - Step 2: Convert to fraction form
280,483,522.20/420,725,283.30 = 260,076,187.80/x - Step 3: Cross multiply
280,483,522.20x = 420,725,283.30 × 260,076,187.80 - Step 4: Simplify right side
280,483,522.20x = 109,420,627,791,739,008 - Step 5: Solve for x
x = 109,420,627,791,739,008/280,483,522.20 - Step 6: Final answer
x = 390,114,281.70
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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.