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Finding the Fourth Proportional to 339,580.38, 509,195.61 and 152,431.50

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Solution

The fourth proportional to 339,580.38, 509,195.61 and 152,431.50 is: 228,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,580.38 : 509,195.61 = 152,431.50 : x
  2. Step 2: Convert to fraction form
    339,580.38/509,195.61 = 152,431.50/x
  3. Step 3: Cross multiply
    339,580.38x = 509,195.61 × 152,431.50
  4. Step 4: Simplify right side
    339,580.38x = 77,617,450,625.72
  5. Step 5: Solve for x
    x = 77,617,450,625.72/339,580.38
  6. Step 6: Final answer
    x = 228,568.71

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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.