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Finding the Fourth Proportional to 414,040.45, 620,064.05 and 280,515.90

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Solution

The fourth proportional to 414,040.45, 620,064.05 and 280,515.90 is: 420,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,040.45 : 620,064.05 = 280,515.90 : x
  2. Step 2: Convert to fraction form
    414,040.45/620,064.05 = 280,515.90/x
  3. Step 3: Cross multiply
    414,040.45x = 620,064.05 × 280,515.90
  4. Step 4: Simplify right side
    414,040.45x = 173,937,822,789.66
  5. Step 5: Solve for x
    x = 173,937,822,789.66/414,040.45
  6. Step 6: Final answer
    x = 420,098.62

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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.