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Finding the Fourth Proportional to 273,280.20, 409,920.30 and 254,617.80

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Solution

The fourth proportional to 273,280.20, 409,920.30 and 254,617.80 is: 381,926.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,280.20 : 409,920.30 = 254,617.80 : x
  2. Step 2: Convert to fraction form
    273,280.20/409,920.30 = 254,617.80/x
  3. Step 3: Cross multiply
    273,280.20x = 409,920.30 × 254,617.80
  4. Step 4: Simplify right side
    273,280.20x = 104,373,004,961.34
  5. Step 5: Solve for x
    x = 104,373,004,961.34/273,280.20
  6. Step 6: Final answer
    x = 381,926.70

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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.