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Finding the Fourth Proportional to 494,409.92, 741,549.31 and 139,452.53

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Solution

The fourth proportional to 494,409.92, 741,549.31 and 139,452.53 is: 209,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,409.92 : 741,549.31 = 139,452.53 : x
  2. Step 2: Convert to fraction form
    494,409.92/741,549.31 = 139,452.53/x
  3. Step 3: Cross multiply
    494,409.92x = 741,549.31 × 139,452.53
  4. Step 4: Simplify right side
    494,409.92x = 103,410,928,904.50
  5. Step 5: Solve for x
    x = 103,410,928,904.50/494,409.92
  6. Step 6: Final answer
    x = 209,160.30

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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.