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Finding the Fourth Proportional to 408,116.70, 610,965.45 and 303,399.90

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Solution

The fourth proportional to 408,116.70, 610,965.45 and 303,399.90 is: 454,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,116.70 : 610,965.45 = 303,399.90 : x
  2. Step 2: Convert to fraction form
    408,116.70/610,965.45 = 303,399.90/x
  3. Step 3: Cross multiply
    408,116.70x = 610,965.45 × 303,399.90
  4. Step 4: Simplify right side
    408,116.70x = 185,366,856,433.46
  5. Step 5: Solve for x
    x = 185,366,856,433.46/408,116.70
  6. Step 6: Final answer
    x = 454,200.62

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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.