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Finding the Fourth Proportional to 383,753.70, 575,578.71 and 103,287.78

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Solution

The fourth proportional to 383,753.70, 575,578.71 and 103,287.78 is: 154,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,753.70 : 575,578.71 = 103,287.78 : x
  2. Step 2: Convert to fraction form
    383,753.70/575,578.71 = 103,287.78/x
  3. Step 3: Cross multiply
    383,753.70x = 575,578.71 × 103,287.78
  4. Step 4: Simplify right side
    383,753.70x = 59,450,247,171.16
  5. Step 5: Solve for x
    x = 59,450,247,171.16/383,753.70
  6. Step 6: Final answer
    x = 154,917.72

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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.