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Finding the Fourth Proportional to 512,190.48, 706,861.96 and 282,791.90

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Solution

The fourth proportional to 512,190.48, 706,861.96 and 282,791.90 is: 390,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,190.48 : 706,861.96 = 282,791.90 : x
  2. Step 2: Convert to fraction form
    512,190.48/706,861.96 = 282,791.90/x
  3. Step 3: Cross multiply
    512,190.48x = 706,861.96 × 282,791.90
  4. Step 4: Simplify right side
    512,190.48x = 199,894,836,706.12
  5. Step 5: Solve for x
    x = 199,894,836,706.12/512,190.48
  6. Step 6: Final answer
    x = 390,274.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.