Finding the Fourth Proportional to 285,667,575,791.18, 394,221,318,939.32 and 157,209,024,408.31
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Solution
The fourth proportional to 285,667,575,791.18, 394,221,318,939.32 and 157,209,024,408.31 is: 216,948,489,095.28
Step by Step Solution
- Step 1: Write the proportion equation
285,667,575,791.18 : 394,221,318,939.32 = 157,209,024,408.31 : x - Step 2: Convert to fraction form
285,667,575,791.18/394,221,318,939.32 = 157,209,024,408.31/x - Step 3: Cross multiply
285,667,575,791.18x = 394,221,318,939.32 × 157,209,024,408.31 - Step 4: Simplify right side
285,667,575,791.18x = 61,975,148,951,407,721,185,280 - Step 5: Solve for x
x = 61,975,148,951,407,721,185,280/285,667,575,791.18 - Step 6: Final answer
x = 216,948,489,095.28
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1.5x scale
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.