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Finding the Fourth Proportional to 383,378.32, 575,067.40 and 102,895.57

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Solution

The fourth proportional to 383,378.32, 575,067.40 and 102,895.57 is: 154,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,378.32 : 575,067.40 = 102,895.57 : x
  2. Step 2: Convert to fraction form
    383,378.32/575,067.40 = 102,895.57/x
  3. Step 3: Cross multiply
    383,378.32x = 575,067.40 × 102,895.57
  4. Step 4: Simplify right side
    383,378.32x = 59,171,887,911.42
  5. Step 5: Solve for x
    x = 59,171,887,911.42/383,378.32
  6. Step 6: Final answer
    x = 154,343.33

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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.