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Finding the Fourth Proportional to 280,301.30, 419,467.80 and 191,727.80

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Solution

The fourth proportional to 280,301.30, 419,467.80 and 191,727.80 is: 286,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,301.30 : 419,467.80 = 191,727.80 : x
  2. Step 2: Convert to fraction form
    280,301.30/419,467.80 = 191,727.80/x
  3. Step 3: Cross multiply
    280,301.30x = 419,467.80 × 191,727.80
  4. Step 4: Simplify right side
    280,301.30x = 80,423,638,464.84
  5. Step 5: Solve for x
    x = 80,423,638,464.84/280,301.30
  6. Step 6: Final answer
    x = 286,918.54

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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.