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Finding the Fourth Proportional to 523,771.12, 722,784.96 and 320,163.04

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Solution

The fourth proportional to 523,771.12, 722,784.96 and 320,163.04 is: 441,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,771.12 : 722,784.96 = 320,163.04 : x
  2. Step 2: Convert to fraction form
    523,771.12/722,784.96 = 320,163.04/x
  3. Step 3: Cross multiply
    523,771.12x = 722,784.96 × 320,163.04
  4. Step 4: Simplify right side
    523,771.12x = 231,409,030,059.88
  5. Step 5: Solve for x
    x = 231,409,030,059.88/523,771.12
  6. Step 6: Final answer
    x = 441,813.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.