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Finding the Fourth Proportional to 219,814.80, 329,722.20 and 184,385.40

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Solution

The fourth proportional to 219,814.80, 329,722.20 and 184,385.40 is: 276,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,814.80 : 329,722.20 = 184,385.40 : x
  2. Step 2: Convert to fraction form
    219,814.80/329,722.20 = 184,385.40/x
  3. Step 3: Cross multiply
    219,814.80x = 329,722.20 × 184,385.40
  4. Step 4: Simplify right side
    219,814.80x = 60,795,959,735.88
  5. Step 5: Solve for x
    x = 60,795,959,735.88/219,814.80
  6. Step 6: Final answer
    x = 276,578.10

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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.