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Finding the Fourth Proportional to 407,768.20, 611,652.30 and 401,863.30

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Solution

The fourth proportional to 407,768.20, 611,652.30 and 401,863.30 is: 602,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,768.20 : 611,652.30 = 401,863.30 : x
  2. Step 2: Convert to fraction form
    407,768.20/611,652.30 = 401,863.30/x
  3. Step 3: Cross multiply
    407,768.20x = 611,652.30 × 401,863.30
  4. Step 4: Simplify right side
    407,768.20x = 245,800,611,730.59
  5. Step 5: Solve for x
    x = 245,800,611,730.59/407,768.20
  6. Step 6: Final answer
    x = 602,794.95

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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.