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Finding the Fourth Proportional to 253,814.33, 380,711.57 and 104,018.60

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Solution

The fourth proportional to 253,814.33, 380,711.57 and 104,018.60 is: 156,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,814.33 : 380,711.57 = 104,018.60 : x
  2. Step 2: Convert to fraction form
    253,814.33/380,711.57 = 104,018.60/x
  3. Step 3: Cross multiply
    253,814.33x = 380,711.57 × 104,018.60
  4. Step 4: Simplify right side
    253,814.33x = 39,601,082,091.55
  5. Step 5: Solve for x
    x = 39,601,082,091.55/253,814.33
  6. Step 6: Final answer
    x = 156,023.83

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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.