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Finding the Fourth Proportional to 207,967.70, 311,951.55 and 204,857.30

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Solution

The fourth proportional to 207,967.70, 311,951.55 and 204,857.30 is: 307,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,967.70 : 311,951.55 = 204,857.30 : x
  2. Step 2: Convert to fraction form
    207,967.70/311,951.55 = 204,857.30/x
  3. Step 3: Cross multiply
    207,967.70x = 311,951.55 × 204,857.30
  4. Step 4: Simplify right side
    207,967.70x = 63,905,552,263.82
  5. Step 5: Solve for x
    x = 63,905,552,263.82/207,967.70
  6. Step 6: Final answer
    x = 307,285.95

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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.