Finding the Fourth Proportional to 212,334,547,115.92, 318,499,639,214.28 and 122,740,532,321.44
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Solution
The fourth proportional to 212,334,547,115.92, 318,499,639,214.28 and 122,740,532,321.44 is: 184,109,537,483.82
Step by Step Solution
- Step 1: Write the proportion equation
212,334,547,115.92 : 318,499,639,214.28 = 122,740,532,321.44 : x - Step 2: Convert to fraction form
212,334,547,115.92/318,499,639,214.28 = 122,740,532,321.44/x - Step 3: Cross multiply
212,334,547,115.92x = 318,499,639,214.28 × 122,740,532,321.44 - Step 4: Simplify right side
212,334,547,115.92x = 39,092,815,261,347,321,217,024 - Step 5: Solve for x
x = 39,092,815,261,347,321,217,024/212,334,547,115.92 - Step 6: Final answer
x = 184,109,537,483.82
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1.5x scale
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.