Finding the Fourth Proportional to 515,584,396,827.05, 711,474,408,977.35 and 284,084,961,152.13
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Solution
The fourth proportional to 515,584,396,827.05, 711,474,408,977.35 and 284,084,961,152.13 is: 392,019,582,204.05
Step by Step Solution
- Step 1: Write the proportion equation
515,584,396,827.05 : 711,474,408,977.35 = 284,084,961,152.13 : x - Step 2: Convert to fraction form
515,584,396,827.05/711,474,408,977.35 = 284,084,961,152.13/x - Step 3: Cross multiply
515,584,396,827.05x = 711,474,408,977.35 × 284,084,961,152.13 - Step 4: Simplify right side
515,584,396,827.05x = 202,119,179,835,065,113,772,032 - Step 5: Solve for x
x = 202,119,179,835,065,113,772,032/515,584,396,827.05 - Step 6: Final answer
x = 392,019,582,204.05
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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.