Finding the Fourth Proportional to 285,667,575,793.20, 394,221,318,942.08 and 157,209,024,410.31
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Solution
The fourth proportional to 285,667,575,793.20, 394,221,318,942.08 and 157,209,024,410.31 is: 216,948,489,098.02
Step by Step Solution
- Step 1: Write the proportion equation
285,667,575,793.20 : 394,221,318,942.08 = 157,209,024,410.31 : x - Step 2: Convert to fraction form
285,667,575,793.20/394,221,318,942.08 = 157,209,024,410.31/x - Step 3: Cross multiply
285,667,575,793.20x = 394,221,318,942.08 × 157,209,024,410.31 - Step 4: Simplify right side
285,667,575,793.20x = 61,975,148,952,630,058,811,392 - Step 5: Solve for x
x = 61,975,148,952,630,058,811,392/285,667,575,793.20 - Step 6: Final answer
x = 216,948,489,098.02
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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.