Finding the Fourth Proportional to 472,392,496.80, 708,588,745.20 and 213,616,159.20
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Solution
The fourth proportional to 472,392,496.80, 708,588,745.20 and 213,616,159.20 is: 320,424,238.80
Step by Step Solution
- Step 1: Write the proportion equation
472,392,496.80 : 708,588,745.20 = 213,616,159.20 : x - Step 2: Convert to fraction form
472,392,496.80/708,588,745.20 = 213,616,159.20/x - Step 3: Cross multiply
472,392,496.80x = 708,588,745.20 × 213,616,159.20 - Step 4: Simplify right side
472,392,496.80x = 151,366,006,201,971,424 - Step 5: Solve for x
x = 151,366,006,201,971,424/472,392,496.80 - Step 6: Final answer
x = 320,424,238.80
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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.