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Finding the Fourth Proportional to 383,998.31, 575,975.88 and 117,758.09

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Solution

The fourth proportional to 383,998.31, 575,975.88 and 117,758.09 is: 176,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,998.31 : 575,975.88 = 117,758.09 : x
  2. Step 2: Convert to fraction form
    383,998.31/575,975.88 = 117,758.09/x
  3. Step 3: Cross multiply
    383,998.31x = 575,975.88 × 117,758.09
  4. Step 4: Simplify right side
    383,998.31x = 67,825,816,634.99
  5. Step 5: Solve for x
    x = 67,825,816,634.99/383,998.31
  6. Step 6: Final answer
    x = 176,630.51

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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.