Finding the Fourth Proportional to 512,813,421.40, 769,220,132.10 and 149,319,635.80
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Solution
The fourth proportional to 512,813,421.40, 769,220,132.10 and 149,319,635.80 is: 223,979,453.70
Step by Step Solution
- Step 1: Write the proportion equation
512,813,421.40 : 769,220,132.10 = 149,319,635.80 : x - Step 2: Convert to fraction form
512,813,421.40/769,220,132.10 = 149,319,635.80/x - Step 3: Cross multiply
512,813,421.40x = 769,220,132.10 × 149,319,635.80 - Step 4: Simplify right side
512,813,421.40x = 114,859,669,975,199,904 - Step 5: Solve for x
x = 114,859,669,975,199,904/512,813,421.40 - Step 6: Final answer
x = 223,979,453.70
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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.