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Finding the Fourth Proportional to 269,854, 404,800.44 and 103,642

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Solution

The fourth proportional to 269,854, 404,800.44 and 103,642 is: 155,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,854 : 404,800.44 = 103,642 : x
  2. Step 2: Convert to fraction form
    269,854/404,800.44 = 103,642/x
  3. Step 3: Cross multiply
    269,854x = 404,800.44 × 103,642
  4. Step 4: Simplify right side
    269,854x = 41,954,327,202.48
  5. Step 5: Solve for x
    x = 41,954,327,202.48/269,854
  6. Step 6: Final answer
    x = 155,470.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.