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Finding the Fourth Proportional to 269,765.70, 404,648.55 and 185,784.90

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Solution

The fourth proportional to 269,765.70, 404,648.55 and 185,784.90 is: 278,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,765.70 : 404,648.55 = 185,784.90 : x
  2. Step 2: Convert to fraction form
    269,765.70/404,648.55 = 185,784.90/x
  3. Step 3: Cross multiply
    269,765.70x = 404,648.55 × 185,784.90
  4. Step 4: Simplify right side
    269,765.70x = 75,177,590,396.90
  5. Step 5: Solve for x
    x = 75,177,590,396.90/269,765.70
  6. Step 6: Final answer
    x = 278,677.35

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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.