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Finding the Fourth Proportional to 420,650.28, 631,134.43 and 164,665.79

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Solution

The fourth proportional to 420,650.28, 631,134.43 and 164,665.79 is: 247,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,650.28 : 631,134.43 = 164,665.79 : x
  2. Step 2: Convert to fraction form
    420,650.28/631,134.43 = 164,665.79/x
  3. Step 3: Cross multiply
    420,650.28x = 631,134.43 × 164,665.79
  4. Step 4: Simplify right side
    420,650.28x = 103,926,246,819.44
  5. Step 5: Solve for x
    x = 103,926,246,819.44/420,650.28
  6. Step 6: Final answer
    x = 247,060.92

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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.