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Finding the Fourth Proportional to 383,619.85, 575,409.32 and 117,380.54

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Solution

The fourth proportional to 383,619.85, 575,409.32 and 117,380.54 is: 176,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,619.85 : 575,409.32 = 117,380.54 : x
  2. Step 2: Convert to fraction form
    383,619.85/575,409.32 = 117,380.54/x
  3. Step 3: Cross multiply
    383,619.85x = 575,409.32 × 117,380.54
  4. Step 4: Simplify right side
    383,619.85x = 67,541,857,994.43
  5. Step 5: Solve for x
    x = 67,541,857,994.43/383,619.85
  6. Step 6: Final answer
    x = 176,064.56

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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.