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Finding the Fourth Proportional to 325,212.96, 487,819.98 and 213,598.20

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Solution

The fourth proportional to 325,212.96, 487,819.98 and 213,598.20 is: 320,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,212.96 : 487,819.98 = 213,598.20 : x
  2. Step 2: Convert to fraction form
    325,212.96/487,819.98 = 213,598.20/x
  3. Step 3: Cross multiply
    325,212.96x = 487,819.98 × 213,598.20
  4. Step 4: Simplify right side
    325,212.96x = 104,197,469,652.04
  5. Step 5: Solve for x
    x = 104,197,469,652.04/325,212.96
  6. Step 6: Final answer
    x = 320,397.65

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1.5x scale

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.