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Finding the Fourth Proportional to 282,490.70, 389,843.89 and 155,168.96

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Solution

The fourth proportional to 282,490.70, 389,843.89 and 155,168.96 is: 214,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,490.70 : 389,843.89 = 155,168.96 : x
  2. Step 2: Convert to fraction form
    282,490.70/389,843.89 = 155,168.96/x
  3. Step 3: Cross multiply
    282,490.70x = 389,843.89 × 155,168.96
  4. Step 4: Simplify right side
    282,490.70x = 60,491,668,636.51
  5. Step 5: Solve for x
    x = 60,491,668,636.51/282,490.70
  6. Step 6: Final answer
    x = 214,136.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.