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Finding the Fourth Proportional to 399,724.20, 598,930.20 and 340,675.20

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Solution

The fourth proportional to 399,724.20, 598,930.20 and 340,675.20 is: 510,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,724.20 : 598,930.20 = 340,675.20 : x
  2. Step 2: Convert to fraction form
    399,724.20/598,930.20 = 340,675.20/x
  3. Step 3: Cross multiply
    399,724.20x = 598,930.20 × 340,675.20
  4. Step 4: Simplify right side
    399,724.20x = 204,040,665,671.04
  5. Step 5: Solve for x
    x = 204,040,665,671.04/399,724.20
  6. Step 6: Final answer
    x = 510,453.62

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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.