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Finding the Fourth Proportional to 308,947.60, 463,464.60 and 131,453.20

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Solution

The fourth proportional to 308,947.60, 463,464.60 and 131,453.20 is: 197,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,947.60 : 463,464.60 = 131,453.20 : x
  2. Step 2: Convert to fraction form
    308,947.60/463,464.60 = 131,453.20/x
  3. Step 3: Cross multiply
    308,947.60x = 463,464.60 × 131,453.20
  4. Step 4: Simplify right side
    308,947.60x = 60,923,904,756.72
  5. Step 5: Solve for x
    x = 60,923,904,756.72/308,947.60
  6. Step 6: Final answer
    x = 197,198.18

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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.