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Finding the Fourth Proportional to 512,796.72, 769,470.48 and 213,483.90

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Solution

The fourth proportional to 512,796.72, 769,470.48 and 213,483.90 is: 320,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,796.72 : 769,470.48 = 213,483.90 : x
  2. Step 2: Convert to fraction form
    512,796.72/769,470.48 = 213,483.90/x
  3. Step 3: Cross multiply
    512,796.72x = 769,470.48 × 213,483.90
  4. Step 4: Simplify right side
    512,796.72x = 164,269,559,005.27
  5. Step 5: Solve for x
    x = 164,269,559,005.27/512,796.72
  6. Step 6: Final answer
    x = 320,340.50

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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.