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Finding the Fourth Proportional to 339,678.80, 509,388.60 and 102,942.80

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Solution

The fourth proportional to 339,678.80, 509,388.60 and 102,942.80 is: 154,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,678.80 : 509,388.60 = 102,942.80 : x
  2. Step 2: Convert to fraction form
    339,678.80/509,388.60 = 102,942.80/x
  3. Step 3: Cross multiply
    339,678.80x = 509,388.60 × 102,942.80
  4. Step 4: Simplify right side
    339,678.80x = 52,437,888,772.08
  5. Step 5: Solve for x
    x = 52,437,888,772.08/339,678.80
  6. Step 6: Final answer
    x = 154,374.92

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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.