Finding the Fourth Proportional to 1,328,495,406.40, 1,992,933,284.64 and 408,448,987.84
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Solution
The fourth proportional to 1,328,495,406.40, 1,992,933,284.64 and 408,448,987.84 is: 612,731,951.52
Step by Step Solution
- Step 1: Write the proportion equation
1,328,495,406.40 : 1,992,933,284.64 = 408,448,987.84 : x - Step 2: Convert to fraction form
1,328,495,406.40/1,992,933,284.64 = 408,448,987.84/x - Step 3: Cross multiply
1,328,495,406.40x = 1,992,933,284.64 × 408,448,987.84 - Step 4: Simplify right side
1,328,495,406.40x = 814,011,582,943,854,592 - Step 5: Solve for x
x = 814,011,582,943,854,592/1,328,495,406.40 - Step 6: Final answer
x = 612,731,951.52
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.