Finding the Fourth Proportional to 513,921,966.97, 709,213,214.12 and 278,972,786.60
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Solution
The fourth proportional to 513,921,966.97, 709,213,214.12 and 278,972,786.60 is: 384,982,933.89
Step by Step Solution
- Step 1: Write the proportion equation
513,921,966.97 : 709,213,214.12 = 278,972,786.60 : x - Step 2: Convert to fraction form
513,921,966.97/709,213,214.12 = 278,972,786.60/x - Step 3: Cross multiply
513,921,966.97x = 709,213,214.12 × 278,972,786.60 - Step 4: Simplify right side
513,921,966.97x = 197,851,186,636,598,880 - Step 5: Solve for x
x = 197,851,186,636,598,880/513,921,966.97 - Step 6: Final answer
x = 384,982,933.89
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.