Finding the Fourth Proportional to 711,184,045,986.05, 981,408,590,177.15 and 402,528,778,094.54
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Solution
The fourth proportional to 711,184,045,986.05, 981,408,590,177.15 and 402,528,778,094.54 is: 555,475,341,221.65
Step by Step Solution
- Step 1: Write the proportion equation
711,184,045,986.05 : 981,408,590,177.15 = 402,528,778,094.54 : x - Step 2: Convert to fraction form
711,184,045,986.05/981,408,590,177.15 = 402,528,778,094.54/x - Step 3: Cross multiply
711,184,045,986.05x = 981,408,590,177.15 × 402,528,778,094.54 - Step 4: Simplify right side
711,184,045,986.05x = 395,045,200,615,493,366,448,128 - Step 5: Solve for x
x = 395,045,200,615,493,366,448,128/711,184,045,986.05 - Step 6: Final answer
x = 555,475,341,221.65
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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.