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Finding the Fourth Proportional to 509,523.20, 764,284.80 and 322,745.60

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Solution

The fourth proportional to 509,523.20, 764,284.80 and 322,745.60 is: 484,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,523.20 : 764,284.80 = 322,745.60 : x
  2. Step 2: Convert to fraction form
    509,523.20/764,284.80 = 322,745.60/x
  3. Step 3: Cross multiply
    509,523.20x = 764,284.80 × 322,745.60
  4. Step 4: Simplify right side
    509,523.20x = 246,669,556,346.88
  5. Step 5: Solve for x
    x = 246,669,556,346.88/509,523.20
  6. Step 6: Final answer
    x = 484,118.40

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Similar ratio
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1.5x scale

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.