Finding the Fourth Proportional to 427,994,236.80, 590,812,853.76 and 288,953,331.84
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Solution
The fourth proportional to 427,994,236.80, 590,812,853.76 and 288,953,331.84 is: 398,877,666.82
Step by Step Solution
- Step 1: Write the proportion equation
427,994,236.80 : 590,812,853.76 = 288,953,331.84 : x - Step 2: Convert to fraction form
427,994,236.80/590,812,853.76 = 288,953,331.84/x - Step 3: Cross multiply
427,994,236.80x = 590,812,853.76 × 288,953,331.84 - Step 4: Simplify right side
427,994,236.80x = 170,717,342,587,850,656 - Step 5: Solve for x
x = 170,717,342,587,850,656/427,994,236.80 - Step 6: Final answer
x = 398,877,666.82
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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.