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Finding the Fourth Proportional to 420,969.81, 631,013.66 and 196,144.86

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Solution

The fourth proportional to 420,969.81, 631,013.66 and 196,144.86 is: 294,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,969.81 : 631,013.66 = 196,144.86 : x
  2. Step 2: Convert to fraction form
    420,969.81/631,013.66 = 196,144.86/x
  3. Step 3: Cross multiply
    420,969.81x = 631,013.66 × 196,144.86
  4. Step 4: Simplify right side
    420,969.81x = 123,770,085,018.06
  5. Step 5: Solve for x
    x = 123,770,085,018.06/420,969.81
  6. Step 6: Final answer
    x = 294,011.78

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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.