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Finding the Fourth Proportional to 309,620.40, 463,816.20 and 178,138.80

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Solution

The fourth proportional to 309,620.40, 463,816.20 and 178,138.80 is: 266,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,620.40 : 463,816.20 = 178,138.80 : x
  2. Step 2: Convert to fraction form
    309,620.40/463,816.20 = 178,138.80/x
  3. Step 3: Cross multiply
    309,620.40x = 463,816.20 × 178,138.80
  4. Step 4: Simplify right side
    309,620.40x = 82,623,661,288.56
  5. Step 5: Solve for x
    x = 82,623,661,288.56/309,620.40
  6. Step 6: Final answer
    x = 266,854.71

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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.