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Finding the Fourth Proportional to 383,378.29, 575,067.34 and 102,895.54

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Solution

The fourth proportional to 383,378.29, 575,067.34 and 102,895.54 is: 154,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,378.29 : 575,067.34 = 102,895.54 : x
  2. Step 2: Convert to fraction form
    383,378.29/575,067.34 = 102,895.54/x
  3. Step 3: Cross multiply
    383,378.29x = 575,067.34 × 102,895.54
  4. Step 4: Simplify right side
    383,378.29x = 59,171,863,176.61
  5. Step 5: Solve for x
    x = 59,171,863,176.61/383,378.29
  6. Step 6: Final answer
    x = 154,343.28

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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.