Finding the Fourth Proportional to 513,105,303.20, 769,657,954.80 and 448,535,221.70
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Solution
The fourth proportional to 513,105,303.20, 769,657,954.80 and 448,535,221.70 is: 672,802,832.55
Step by Step Solution
- Step 1: Write the proportion equation
513,105,303.20 : 769,657,954.80 = 448,535,221.70 : x - Step 2: Convert to fraction form
513,105,303.20/769,657,954.80 = 448,535,221.70/x - Step 3: Cross multiply
513,105,303.20x = 769,657,954.80 × 448,535,221.70 - Step 4: Simplify right side
513,105,303.20x = 345,218,701,389,386,560 - Step 5: Solve for x
x = 345,218,701,389,386,560/513,105,303.20 - Step 6: Final answer
x = 672,802,832.55
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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.