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Finding the Fourth Proportional to 494,499.26, 741,806.76 and 157,421.78

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Solution

The fourth proportional to 494,499.26, 741,806.76 and 157,421.78 is: 236,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,499.26 : 741,806.76 = 157,421.78 : x
  2. Step 2: Convert to fraction form
    494,499.26/741,806.76 = 157,421.78/x
  3. Step 3: Cross multiply
    494,499.26x = 741,806.76 × 157,421.78
  4. Step 4: Simplify right side
    494,499.26x = 116,776,540,575.23
  5. Step 5: Solve for x
    x = 116,776,540,575.23/494,499.26
  6. Step 6: Final answer
    x = 236,151.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.