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Finding the Fourth Proportional to 764,668, 1,147,140.60 and 315,138.88

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Solution

The fourth proportional to 764,668, 1,147,140.60 and 315,138.88 is: 472,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,668 : 1,147,140.60 = 315,138.88 : x
  2. Step 2: Convert to fraction form
    764,668/1,147,140.60 = 315,138.88/x
  3. Step 3: Cross multiply
    764,668x = 1,147,140.60 × 315,138.88
  4. Step 4: Simplify right side
    764,668x = 361,508,603,886.53
  5. Step 5: Solve for x
    x = 361,508,603,886.53/764,668
  6. Step 6: Final answer
    x = 472,765.44

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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.