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Finding the Fourth Proportional to 427,683, 641,524.50 and 132,195

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Solution

The fourth proportional to 427,683, 641,524.50 and 132,195 is: 198,292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,683 : 641,524.50 = 132,195 : x
  2. Step 2: Convert to fraction form
    427,683/641,524.50 = 132,195/x
  3. Step 3: Cross multiply
    427,683x = 641,524.50 × 132,195
  4. Step 4: Simplify right side
    427,683x = 84,806,331,277.50
  5. Step 5: Solve for x
    x = 84,806,331,277.50/427,683
  6. Step 6: Final answer
    x = 198,292.50

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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.