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Finding the Fourth Proportional to 325,212, 490,255.68 and 303,536.64

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Solution

The fourth proportional to 325,212, 490,255.68 and 303,536.64 is: 457,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,212 : 490,255.68 = 303,536.64 : x
  2. Step 2: Convert to fraction form
    325,212/490,255.68 = 303,536.64/x
  3. Step 3: Cross multiply
    325,212x = 490,255.68 × 303,536.64
  4. Step 4: Simplify right side
    325,212x = 148,810,561,848.12
  5. Step 5: Solve for x
    x = 148,810,561,848.12/325,212
  6. Step 6: Final answer
    x = 457,580.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.