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Finding the Fourth Proportional to 339,861.50, 509,792.24 and 161,828.78

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Solution

The fourth proportional to 339,861.50, 509,792.24 and 161,828.78 is: 242,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,861.50 : 509,792.24 = 161,828.78 : x
  2. Step 2: Convert to fraction form
    339,861.50/509,792.24 = 161,828.78/x
  3. Step 3: Cross multiply
    339,861.50x = 509,792.24 × 161,828.78
  4. Step 4: Simplify right side
    339,861.50x = 82,499,056,252.67
  5. Step 5: Solve for x
    x = 82,499,056,252.67/339,861.50
  6. Step 6: Final answer
    x = 242,743.17

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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.