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Finding the Fourth Proportional to 219,433.97, 329,246.05 and 77,380.76

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Solution

The fourth proportional to 219,433.97, 329,246.05 and 77,380.76 is: 116,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,433.97 : 329,246.05 = 77,380.76 : x
  2. Step 2: Convert to fraction form
    219,433.97/329,246.05 = 77,380.76/x
  3. Step 3: Cross multiply
    219,433.97x = 329,246.05 × 77,380.76
  4. Step 4: Simplify right side
    219,433.97x = 25,477,308,362.19
  5. Step 5: Solve for x
    x = 25,477,308,362.19/219,433.97
  6. Step 6: Final answer
    x = 116,104.67

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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.