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Finding the Fourth Proportional to 313,371.60, 470,138.40 and 135,837.60

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Solution

The fourth proportional to 313,371.60, 470,138.40 and 135,837.60 is: 203,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,371.60 : 470,138.40 = 135,837.60 : x
  2. Step 2: Convert to fraction form
    313,371.60/470,138.40 = 135,837.60/x
  3. Step 3: Cross multiply
    313,371.60x = 470,138.40 × 135,837.60
  4. Step 4: Simplify right side
    313,371.60x = 63,862,471,923.84
  5. Step 5: Solve for x
    x = 63,862,471,923.84/313,371.60
  6. Step 6: Final answer
    x = 203,791.51

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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.