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Finding the Fourth Proportional to 471,212.72, 706,695.12 and 321,425.12

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Solution

The fourth proportional to 471,212.72, 706,695.12 and 321,425.12 is: 482,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,212.72 : 706,695.12 = 321,425.12 : x
  2. Step 2: Convert to fraction form
    471,212.72/706,695.12 = 321,425.12/x
  3. Step 3: Cross multiply
    471,212.72x = 706,695.12 × 321,425.12
  4. Step 4: Simplify right side
    471,212.72x = 227,149,563,749.41
  5. Step 5: Solve for x
    x = 227,149,563,749.41/471,212.72
  6. Step 6: Final answer
    x = 482,053.12

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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.