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Finding the Fourth Proportional to 408,116.20, 610,964.70 and 303,399.40

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Solution

The fourth proportional to 408,116.20, 610,964.70 and 303,399.40 is: 454,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,116.20 : 610,964.70 = 303,399.40 : x
  2. Step 2: Convert to fraction form
    408,116.20/610,964.70 = 303,399.40/x
  3. Step 3: Cross multiply
    408,116.20x = 610,964.70 × 303,399.40
  4. Step 4: Simplify right side
    408,116.20x = 185,366,323,401.18
  5. Step 5: Solve for x
    x = 185,366,323,401.18/408,116.20
  6. Step 6: Final answer
    x = 454,199.87

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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.