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Finding the Fourth Proportional to 381,352.20, 572,028.30 and 280,968.90

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Solution

The fourth proportional to 381,352.20, 572,028.30 and 280,968.90 is: 421,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,352.20 : 572,028.30 = 280,968.90 : x
  2. Step 2: Convert to fraction form
    381,352.20/572,028.30 = 280,968.90/x
  3. Step 3: Cross multiply
    381,352.20x = 572,028.30 × 280,968.90
  4. Step 4: Simplify right side
    381,352.20x = 160,722,162,219.87
  5. Step 5: Solve for x
    x = 160,722,162,219.87/381,352.20
  6. Step 6: Final answer
    x = 421,453.35

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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.