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Finding the Fourth Proportional to 382,834, 574,513.98 and 133,516

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Solution

The fourth proportional to 382,834, 574,513.98 and 133,516 is: 200,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,834 : 574,513.98 = 133,516 : x
  2. Step 2: Convert to fraction form
    382,834/574,513.98 = 133,516/x
  3. Step 3: Cross multiply
    382,834x = 574,513.98 × 133,516
  4. Step 4: Simplify right side
    382,834x = 76,706,808,553.68
  5. Step 5: Solve for x
    x = 76,706,808,553.68/382,834
  6. Step 6: Final answer
    x = 200,365.72

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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.