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Finding the Fourth Proportional to 494,549.30, 741,651.15 and 257,813.30

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Solution

The fourth proportional to 494,549.30, 741,651.15 and 257,813.30 is: 386,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,549.30 : 741,651.15 = 257,813.30 : x
  2. Step 2: Convert to fraction form
    494,549.30/741,651.15 = 257,813.30/x
  3. Step 3: Cross multiply
    494,549.30x = 741,651.15 × 257,813.30
  4. Step 4: Simplify right side
    494,549.30x = 191,207,530,430.30
  5. Step 5: Solve for x
    x = 191,207,530,430.30/494,549.30
  6. Step 6: Final answer
    x = 386,629.87

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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.