Finding the Fourth Proportional to 747,562,524.80, 1,031,647,108.16 and 413,042,743.68
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Solution
The fourth proportional to 747,562,524.80, 1,031,647,108.16 and 413,042,743.68 is: 570,004,966.71
Step by Step Solution
- Step 1: Write the proportion equation
747,562,524.80 : 1,031,647,108.16 = 413,042,743.68 : x - Step 2: Convert to fraction form
747,562,524.80/1,031,647,108.16 = 413,042,743.68/x - Step 3: Cross multiply
747,562,524.80x = 1,031,647,108.16 × 413,042,743.68 - Step 4: Simplify right side
747,562,524.80x = 426,114,352,063,944,128 - Step 5: Solve for x
x = 426,114,352,063,944,128/747,562,524.80 - Step 6: Final answer
x = 570,004,966.71
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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.