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Finding the Fourth Proportional to 219,383, 329,074.50 and 53,171

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Solution

The fourth proportional to 219,383, 329,074.50 and 53,171 is: 79,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,383 : 329,074.50 = 53,171 : x
  2. Step 2: Convert to fraction form
    219,383/329,074.50 = 53,171/x
  3. Step 3: Cross multiply
    219,383x = 329,074.50 × 53,171
  4. Step 4: Simplify right side
    219,383x = 17,497,220,239.50
  5. Step 5: Solve for x
    x = 17,497,220,239.50/219,383
  6. Step 6: Final answer
    x = 79,756.50

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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.