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Finding the Fourth Proportional to 219,427, 329,141.58 and 53,215

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Solution

The fourth proportional to 219,427, 329,141.58 and 53,215 is: 79,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,427 : 329,141.58 = 53,215 : x
  2. Step 2: Convert to fraction form
    219,427/329,141.58 = 53,215/x
  3. Step 3: Cross multiply
    219,427x = 329,141.58 × 53,215
  4. Step 4: Simplify right side
    219,427x = 17,515,269,179.70
  5. Step 5: Solve for x
    x = 17,515,269,179.70/219,427
  6. Step 6: Final answer
    x = 79,822.76

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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.