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Finding the Fourth Proportional to 219,455.50, 329,183.40 and 53,243.50

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Solution

The fourth proportional to 219,455.50, 329,183.40 and 53,243.50 is: 79,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,455.50 : 329,183.40 = 53,243.50 : x
  2. Step 2: Convert to fraction form
    219,455.50/329,183.40 = 53,243.50/x
  3. Step 3: Cross multiply
    219,455.50x = 329,183.40 × 53,243.50
  4. Step 4: Simplify right side
    219,455.50x = 17,526,876,357.90
  5. Step 5: Solve for x
    x = 17,526,876,357.90/219,455.50
  6. Step 6: Final answer
    x = 79,865.29

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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.