Finding the Fourth Proportional to 1,648,358,785.14, 2,472,920,621.45 and 542,923,971.98
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Solution
The fourth proportional to 1,648,358,785.14, 2,472,920,621.45 and 542,923,971.98 is: 814,511,924.39
Step by Step Solution
- Step 1: Write the proportion equation
1,648,358,785.14 : 2,472,920,621.45 = 542,923,971.98 : x - Step 2: Convert to fraction form
1,648,358,785.14/2,472,920,621.45 = 542,923,971.98/x - Step 3: Cross multiply
1,648,358,785.14x = 2,472,920,621.45 × 542,923,971.98 - Step 4: Simplify right side
1,648,358,785.14x = 1,342,607,886,173,804,800 - Step 5: Solve for x
x = 1,342,607,886,173,804,800/1,648,358,785.14 - Step 6: Final answer
x = 814,511,924.39
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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.