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Finding the Fourth Proportional to 470,811.25, 706,527.92 and 221,512.69

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Solution

The fourth proportional to 470,811.25, 706,527.92 and 221,512.69 is: 332,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,811.25 : 706,527.92 = 221,512.69 : x
  2. Step 2: Convert to fraction form
    470,811.25/706,527.92 = 221,512.69/x
  3. Step 3: Cross multiply
    470,811.25x = 706,527.92 × 221,512.69
  4. Step 4: Simplify right side
    470,811.25x = 156,504,900,119.31
  5. Step 5: Solve for x
    x = 156,504,900,119.31/470,811.25
  6. Step 6: Final answer
    x = 332,415.38

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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.