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Finding the Fourth Proportional to 280,049.26, 419,935.65 and 122,209.42

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Solution

The fourth proportional to 280,049.26, 419,935.65 and 122,209.42 is: 183,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,049.26 : 419,935.65 = 122,209.42 : x
  2. Step 2: Convert to fraction form
    280,049.26/419,935.65 = 122,209.42/x
  3. Step 3: Cross multiply
    280,049.26x = 419,935.65 × 122,209.42
  4. Step 4: Simplify right side
    280,049.26x = 51,320,090,715.70
  5. Step 5: Solve for x
    x = 51,320,090,715.70/280,049.26
  6. Step 6: Final answer
    x = 183,253.80

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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.