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Finding the Fourth Proportional to 253,755.40, 380,358.42 and 165,072.28

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Solution

The fourth proportional to 253,755.40, 380,358.42 and 165,072.28 is: 247,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,755.40 : 380,358.42 = 165,072.28 : x
  2. Step 2: Convert to fraction form
    253,755.40/380,358.42 = 165,072.28/x
  3. Step 3: Cross multiply
    253,755.40x = 380,358.42 × 165,072.28
  4. Step 4: Simplify right side
    253,755.40x = 62,786,631,606.60
  5. Step 5: Solve for x
    x = 62,786,631,606.60/253,755.40
  6. Step 6: Final answer
    x = 247,429.74

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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.