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Finding the Fourth Proportional to 278,878.20, 419,192.10 and 273,629.40

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Solution

The fourth proportional to 278,878.20, 419,192.10 and 273,629.40 is: 411,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,878.20 : 419,192.10 = 273,629.40 : x
  2. Step 2: Convert to fraction form
    278,878.20/419,192.10 = 273,629.40/x
  3. Step 3: Cross multiply
    278,878.20x = 419,192.10 × 273,629.40
  4. Step 4: Simplify right side
    278,878.20x = 114,703,282,807.74
  5. Step 5: Solve for x
    x = 114,703,282,807.74/278,878.20
  6. Step 6: Final answer
    x = 411,302.44

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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.