Finding the Fourth Proportional to 1,584,156,963.20, 2,376,235,444.80 and 929,421,651.20
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Solution
The fourth proportional to 1,584,156,963.20, 2,376,235,444.80 and 929,421,651.20 is: 1,394,132,476.80
Step by Step Solution
- Step 1: Write the proportion equation
1,584,156,963.20 : 2,376,235,444.80 = 929,421,651.20 : x - Step 2: Convert to fraction form
1,584,156,963.20/2,376,235,444.80 = 929,421,651.20/x - Step 3: Cross multiply
1,584,156,963.20x = 2,376,235,444.80 × 929,421,651.20 - Step 4: Simplify right side
1,584,156,963.20x = 2,208,524,670,745,982,720 - Step 5: Solve for x
x = 2,208,524,670,745,982,720/1,584,156,963.20 - Step 6: Final answer
x = 1,394,132,476.80
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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.