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Finding the Fourth Proportional to 529,620.30, 794,138.85 and 213,720.30

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Solution

The fourth proportional to 529,620.30, 794,138.85 and 213,720.30 is: 320,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,620.30 : 794,138.85 = 213,720.30 : x
  2. Step 2: Convert to fraction form
    529,620.30/794,138.85 = 213,720.30/x
  3. Step 3: Cross multiply
    529,620.30x = 794,138.85 × 213,720.30
  4. Step 4: Simplify right side
    529,620.30x = 169,723,593,263.66
  5. Step 5: Solve for x
    x = 169,723,593,263.66/529,620.30
  6. Step 6: Final answer
    x = 320,462.78

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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.