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Finding the Fourth Proportional to 339,954.72, 509,702.04 and 190,298.31

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Solution

The fourth proportional to 339,954.72, 509,702.04 and 190,298.31 is: 285,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,954.72 : 509,702.04 = 190,298.31 : x
  2. Step 2: Convert to fraction form
    339,954.72/509,702.04 = 190,298.31/x
  3. Step 3: Cross multiply
    339,954.72x = 509,702.04 × 190,298.31
  4. Step 4: Simplify right side
    339,954.72x = 96,995,436,815.55
  5. Step 5: Solve for x
    x = 96,995,436,815.55/339,954.72
  6. Step 6: Final answer
    x = 285,318.69

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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.