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Finding the Fourth Proportional to 512,867.60, 769,443.60 and 213,489.20

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Solution

The fourth proportional to 512,867.60, 769,443.60 and 213,489.20 is: 320,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,867.60 : 769,443.60 = 213,489.20 : x
  2. Step 2: Convert to fraction form
    512,867.60/769,443.60 = 213,489.20/x
  3. Step 3: Cross multiply
    512,867.60x = 769,443.60 × 213,489.20
  4. Step 4: Simplify right side
    512,867.60x = 164,267,898,609.12
  5. Step 5: Solve for x
    x = 164,267,898,609.12/512,867.60
  6. Step 6: Final answer
    x = 320,292.99

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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.