Finding the Fourth Proportional to 285,667,575,790.18, 394,221,318,937.94 and 157,209,024,407.31
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Solution
The fourth proportional to 285,667,575,790.18, 394,221,318,937.94 and 157,209,024,407.31 is: 216,948,489,093.90
Step by Step Solution
- Step 1: Write the proportion equation
285,667,575,790.18 : 394,221,318,937.94 = 157,209,024,407.31 : x - Step 2: Convert to fraction form
285,667,575,790.18/394,221,318,937.94 = 157,209,024,407.31/x - Step 3: Cross multiply
285,667,575,790.18x = 394,221,318,937.94 × 157,209,024,407.31 - Step 4: Simplify right side
285,667,575,790.18x = 61,975,148,950,796,552,372,224 - Step 5: Solve for x
x = 61,975,148,950,796,552,372,224/285,667,575,790.18 - Step 6: Final answer
x = 216,948,489,093.90
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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.