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Finding the Fourth Proportional to 494,863.36, 741,633.28 and 257,708.16

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Solution

The fourth proportional to 494,863.36, 741,633.28 and 257,708.16 is: 386,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,863.36 : 741,633.28 = 257,708.16 : x
  2. Step 2: Convert to fraction form
    494,863.36/741,633.28 = 257,708.16/x
  3. Step 3: Cross multiply
    494,863.36x = 741,633.28 × 257,708.16
  4. Step 4: Simplify right side
    494,863.36x = 191,124,947,983.57
  5. Step 5: Solve for x
    x = 191,124,947,983.57/494,863.36
  6. Step 6: Final answer
    x = 386,217.62

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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.