Finding the Fourth Proportional to 431,473,124.20, 647,209,686.30 and 286,354,301.80
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Solution
The fourth proportional to 431,473,124.20, 647,209,686.30 and 286,354,301.80 is: 429,531,452.70
Step by Step Solution
- Step 1: Write the proportion equation
431,473,124.20 : 647,209,686.30 = 286,354,301.80 : x - Step 2: Convert to fraction form
431,473,124.20/647,209,686.30 = 286,354,301.80/x - Step 3: Cross multiply
431,473,124.20x = 647,209,686.30 × 286,354,301.80 - Step 4: Simplify right side
431,473,124.20x = 185,331,277,838,633,504 - Step 5: Solve for x
x = 185,331,277,838,633,504/431,473,124.20 - Step 6: Final answer
x = 429,531,452.70
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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.