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Finding the Fourth Proportional to 219,266.50, 328,951.75 and 71,522.50

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Solution

The fourth proportional to 219,266.50, 328,951.75 and 71,522.50 is: 107,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,266.50 : 328,951.75 = 71,522.50 : x
  2. Step 2: Convert to fraction form
    219,266.50/328,951.75 = 71,522.50/x
  3. Step 3: Cross multiply
    219,266.50x = 328,951.75 × 71,522.50
  4. Step 4: Simplify right side
    219,266.50x = 23,527,451,539.38
  5. Step 5: Solve for x
    x = 23,527,451,539.38/219,266.50
  6. Step 6: Final answer
    x = 107,300.71

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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.