Finding the Fourth Proportional to 772,089,122,788.68, 1,158,301,223,894.60 and 234,853,120,290.76
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Solution
The fourth proportional to 772,089,122,788.68, 1,158,301,223,894.60 and 234,853,120,290.76 is: 352,330,642,459.66
Step by Step Solution
- Step 1: Write the proportion equation
772,089,122,788.68 : 1,158,301,223,894.60 = 234,853,120,290.76 : x - Step 2: Convert to fraction form
772,089,122,788.68/1,158,301,223,894.60 = 234,853,120,290.76/x - Step 3: Cross multiply
772,089,122,788.68x = 1,158,301,223,894.60 × 234,853,120,290.76 - Step 4: Simplify right side
772,089,122,788.68x = 272,030,656,668,253,049,323,520 - Step 5: Solve for x
x = 272,030,656,668,253,049,323,520/772,089,122,788.68 - Step 6: Final answer
x = 352,330,642,459.66
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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.