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Finding the Fourth Proportional to 219,730.60, 329,207.10 and 205,733.80

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Solution

The fourth proportional to 219,730.60, 329,207.10 and 205,733.80 is: 308,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,730.60 : 329,207.10 = 205,733.80 : x
  2. Step 2: Convert to fraction form
    219,730.60/329,207.10 = 205,733.80/x
  3. Step 3: Cross multiply
    219,730.60x = 329,207.10 × 205,733.80
  4. Step 4: Simplify right side
    219,730.60x = 67,729,027,669.98
  5. Step 5: Solve for x
    x = 67,729,027,669.98/219,730.60
  6. Step 6: Final answer
    x = 308,236.67

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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.