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Finding the Fourth Proportional to 269,446.40, 405,044.40 and 191,103.20

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Solution

The fourth proportional to 269,446.40, 405,044.40 and 191,103.20 is: 287,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,446.40 : 405,044.40 = 191,103.20 : x
  2. Step 2: Convert to fraction form
    269,446.40/405,044.40 = 191,103.20/x
  3. Step 3: Cross multiply
    269,446.40x = 405,044.40 × 191,103.20
  4. Step 4: Simplify right side
    269,446.40x = 77,405,280,982.08
  5. Step 5: Solve for x
    x = 77,405,280,982.08/269,446.40
  6. Step 6: Final answer
    x = 287,275.25

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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.