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Finding the Fourth Proportional to 339,396.43, 509,095.86 and 114,758.73

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Solution

The fourth proportional to 339,396.43, 509,095.86 and 114,758.73 is: 172,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,396.43 : 509,095.86 = 114,758.73 : x
  2. Step 2: Convert to fraction form
    339,396.43/509,095.86 = 114,758.73/x
  3. Step 3: Cross multiply
    339,396.43x = 509,095.86 × 114,758.73
  4. Step 4: Simplify right side
    339,396.43x = 58,423,194,341.86
  5. Step 5: Solve for x
    x = 58,423,194,341.86/339,396.43
  6. Step 6: Final answer
    x = 172,138.51

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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.