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Finding the Fourth Proportional to 320,571.24, 480,900.60 and 133,539

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Solution

The fourth proportional to 320,571.24, 480,900.60 and 133,539 is: 200,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,571.24 : 480,900.60 = 133,539 : x
  2. Step 2: Convert to fraction form
    320,571.24/480,900.60 = 133,539/x
  3. Step 3: Cross multiply
    320,571.24x = 480,900.60 × 133,539
  4. Step 4: Simplify right side
    320,571.24x = 64,218,985,223.40
  5. Step 5: Solve for x
    x = 64,218,985,223.40/320,571.24
  6. Step 6: Final answer
    x = 200,326.72

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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.