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Finding the Fourth Proportional to 320,576.24, 480,908.12 and 133,544

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Solution

The fourth proportional to 320,576.24, 480,908.12 and 133,544 is: 200,334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,576.24 : 480,908.12 = 133,544 : x
  2. Step 2: Convert to fraction form
    320,576.24/480,908.12 = 133,544/x
  3. Step 3: Cross multiply
    320,576.24x = 480,908.12 × 133,544
  4. Step 4: Simplify right side
    320,576.24x = 64,222,393,977.28
  5. Step 5: Solve for x
    x = 64,222,393,977.28/320,576.24
  6. Step 6: Final answer
    x = 200,334.23

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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.