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Finding the Fourth Proportional to 339,321.70, 509,190.55 and 139,737.70

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Solution

The fourth proportional to 339,321.70, 509,190.55 and 139,737.70 is: 209,692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,321.70 : 509,190.55 = 139,737.70 : x
  2. Step 2: Convert to fraction form
    339,321.70/509,190.55 = 139,737.70/x
  3. Step 3: Cross multiply
    339,321.70x = 509,190.55 × 139,737.70
  4. Step 4: Simplify right side
    339,321.70x = 71,153,116,318.74
  5. Step 5: Solve for x
    x = 71,153,116,318.74/339,321.70
  6. Step 6: Final answer
    x = 209,692.21

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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.