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Finding the Fourth Proportional to 339,435.56, 509,367.78 and 189,774.02

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Solution

The fourth proportional to 339,435.56, 509,367.78 and 189,774.02 is: 284,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,435.56 : 509,367.78 = 189,774.02 : x
  2. Step 2: Convert to fraction form
    339,435.56/509,367.78 = 189,774.02/x
  3. Step 3: Cross multiply
    339,435.56x = 509,367.78 × 189,774.02
  4. Step 4: Simplify right side
    339,435.56x = 96,664,771,269.08
  5. Step 5: Solve for x
    x = 96,664,771,269.08/339,435.56
  6. Step 6: Final answer
    x = 284,780.92

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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.