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Finding the Fourth Proportional to 340,099.40, 509,711.70 and 206,838.20

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Solution

The fourth proportional to 340,099.40, 509,711.70 and 206,838.20 is: 309,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,099.40 : 509,711.70 = 206,838.20 : x
  2. Step 2: Convert to fraction form
    340,099.40/509,711.70 = 206,838.20/x
  3. Step 3: Cross multiply
    340,099.40x = 509,711.70 × 206,838.20
  4. Step 4: Simplify right side
    340,099.40x = 105,427,850,546.94
  5. Step 5: Solve for x
    x = 105,427,850,546.94/340,099.40
  6. Step 6: Final answer
    x = 309,991.29

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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.