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Finding the Fourth Proportional to 354,451.24, 531,926.16 and 320,571.64

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Solution

The fourth proportional to 354,451.24, 531,926.16 and 320,571.64 is: 481,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,451.24 : 531,926.16 = 320,571.64 : x
  2. Step 2: Convert to fraction form
    354,451.24/531,926.16 = 320,571.64/x
  3. Step 3: Cross multiply
    354,451.24x = 531,926.16 × 320,571.64
  4. Step 4: Simplify right side
    354,451.24x = 170,520,441,470.10
  5. Step 5: Solve for x
    x = 170,520,441,470.10/354,451.24
  6. Step 6: Final answer
    x = 481,082.93

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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.