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Finding the Fourth Proportional to 647,109.76, 970,667.08 and 197,828.88

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Solution

The fourth proportional to 647,109.76, 970,667.08 and 197,828.88 is: 296,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,109.76 : 970,667.08 = 197,828.88 : x
  2. Step 2: Convert to fraction form
    647,109.76/970,667.08 = 197,828.88/x
  3. Step 3: Cross multiply
    647,109.76x = 970,667.08 × 197,828.88
  4. Step 4: Simplify right side
    647,109.76x = 192,025,981,289.27
  5. Step 5: Solve for x
    x = 192,025,981,289.27/647,109.76
  6. Step 6: Final answer
    x = 296,744.07

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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.