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Finding the Fourth Proportional to 339,433.80, 509,021.10 and 102,697.80

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Solution

The fourth proportional to 339,433.80, 509,021.10 and 102,697.80 is: 154,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,433.80 : 509,021.10 = 102,697.80 : x
  2. Step 2: Convert to fraction form
    339,433.80/509,021.10 = 102,697.80/x
  3. Step 3: Cross multiply
    339,433.80x = 509,021.10 × 102,697.80
  4. Step 4: Simplify right side
    339,433.80x = 52,275,347,123.58
  5. Step 5: Solve for x
    x = 52,275,347,123.58/339,433.80
  6. Step 6: Final answer
    x = 154,007.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.