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Finding the Fourth Proportional to 512,996.67, 769,495.20 and 133,916.34

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Solution

The fourth proportional to 512,996.67, 769,495.20 and 133,916.34 is: 200,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,996.67 : 769,495.20 = 133,916.34 : x
  2. Step 2: Convert to fraction form
    512,996.67/769,495.20 = 133,916.34/x
  3. Step 3: Cross multiply
    512,996.67x = 769,495.20 × 133,916.34
  4. Step 4: Simplify right side
    512,996.67x = 103,047,980,831.57
  5. Step 5: Solve for x
    x = 103,047,980,831.57/512,996.67
  6. Step 6: Final answer
    x = 200,874.56

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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.