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Finding the Fourth Proportional to 381,353.20, 572,029.80 and 280,969.90

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Solution

The fourth proportional to 381,353.20, 572,029.80 and 280,969.90 is: 421,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,353.20 : 572,029.80 = 280,969.90 : x
  2. Step 2: Convert to fraction form
    381,353.20/572,029.80 = 280,969.90/x
  3. Step 3: Cross multiply
    381,353.20x = 572,029.80 × 280,969.90
  4. Step 4: Simplify right side
    381,353.20x = 160,723,155,703.02
  5. Step 5: Solve for x
    x = 160,723,155,703.02/381,353.20
  6. Step 6: Final answer
    x = 421,454.85

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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.