Finding the Fourth Proportional to 900,452,421,387.78, 1,242,589,489,742.90 and 488,911,480,815.96
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Solution
The fourth proportional to 900,452,421,387.78, 1,242,589,489,742.90 and 488,911,480,815.96 is: 674,678,920,336.78
Step by Step Solution
- Step 1: Write the proportion equation
900,452,421,387.78 : 1,242,589,489,742.90 = 488,911,480,815.96 : x - Step 2: Convert to fraction form
900,452,421,387.78/1,242,589,489,742.90 = 488,911,480,815.96/x - Step 3: Cross multiply
900,452,421,387.78x = 1,242,589,489,742.90 × 488,911,480,815.96 - Step 4: Simplify right side
900,452,421,387.78x = 607,516,267,476,549,338,398,720 - Step 5: Solve for x
x = 607,516,267,476,549,338,398,720/900,452,421,387.78 - Step 6: Final answer
x = 674,678,920,336.78
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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.