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Finding the Fourth Proportional to 339,758.02, 509,640.10 and 103,100.69

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Solution

The fourth proportional to 339,758.02, 509,640.10 and 103,100.69 is: 154,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,758.02 : 509,640.10 = 103,100.69 : x
  2. Step 2: Convert to fraction form
    339,758.02/509,640.10 = 103,100.69/x
  3. Step 3: Cross multiply
    339,758.02x = 509,640.10 × 103,100.69
  4. Step 4: Simplify right side
    339,758.02x = 52,544,246,978.02
  5. Step 5: Solve for x
    x = 52,544,246,978.02/339,758.02
  6. Step 6: Final answer
    x = 154,651.97

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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.