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Finding the Fourth Proportional to 339,815.21, 509,404.49 and 115,018.34

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Solution

The fourth proportional to 339,815.21, 509,404.49 and 115,018.34 is: 172,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,815.21 : 509,404.49 = 115,018.34 : x
  2. Step 2: Convert to fraction form
    339,815.21/509,404.49 = 115,018.34/x
  3. Step 3: Cross multiply
    339,815.21x = 509,404.49 × 115,018.34
  4. Step 4: Simplify right side
    339,815.21x = 58,590,858,253.25
  5. Step 5: Solve for x
    x = 58,590,858,253.25/339,815.21
  6. Step 6: Final answer
    x = 172,419.76

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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.