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Finding the Fourth Proportional to 278,873.20, 419,184.60 and 273,624.40

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Solution

The fourth proportional to 278,873.20, 419,184.60 and 273,624.40 is: 411,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,873.20 : 419,184.60 = 273,624.40 : x
  2. Step 2: Convert to fraction form
    278,873.20/419,184.60 = 273,624.40/x
  3. Step 3: Cross multiply
    278,873.20x = 419,184.60 × 273,624.40
  4. Step 4: Simplify right side
    278,873.20x = 114,699,134,664.24
  5. Step 5: Solve for x
    x = 114,699,134,664.24/278,873.20
  6. Step 6: Final answer
    x = 411,294.93

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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.