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Finding the Fourth Proportional to 339,448, 509,172 and 117,832

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Solution

The fourth proportional to 339,448, 509,172 and 117,832 is: 176,748

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,448 : 509,172 = 117,832 : x
  2. Step 2: Convert to fraction form
    339,448/509,172 = 117,832/x
  3. Step 3: Cross multiply
    339,448x = 509,172 × 117,832
  4. Step 4: Simplify right side
    339,448x = 59,996,755,104
  5. Step 5: Solve for x
    x = 59,996,755,104/339,448
  6. Step 6: Final answer
    x = 176,748

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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.