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Finding the Fourth Proportional to 219,814.60, 329,721.90 and 164,518.60

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Solution

The fourth proportional to 219,814.60, 329,721.90 and 164,518.60 is: 246,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,814.60 : 329,721.90 = 164,518.60 : x
  2. Step 2: Convert to fraction form
    219,814.60/329,721.90 = 164,518.60/x
  3. Step 3: Cross multiply
    219,814.60x = 329,721.90 × 164,518.60
  4. Step 4: Simplify right side
    219,814.60x = 54,245,385,377.34
  5. Step 5: Solve for x
    x = 54,245,385,377.34/219,814.60
  6. Step 6: Final answer
    x = 246,777.90

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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.