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Finding the Fourth Proportional to 272,858.38, 409,286.94 and 104,395.30

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Solution

The fourth proportional to 272,858.38, 409,286.94 and 104,395.30 is: 156,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,858.38 : 409,286.94 = 104,395.30 : x
  2. Step 2: Convert to fraction form
    272,858.38/409,286.94 = 104,395.30/x
  3. Step 3: Cross multiply
    272,858.38x = 409,286.94 × 104,395.30
  4. Step 4: Simplify right side
    272,858.38x = 42,727,632,887.38
  5. Step 5: Solve for x
    x = 42,727,632,887.38/272,858.38
  6. Step 6: Final answer
    x = 156,592.71

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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.