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Finding the Fourth Proportional to 313,142.82, 469,785.87 and 135,679.38

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Solution

The fourth proportional to 313,142.82, 469,785.87 and 135,679.38 is: 203,550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,142.82 : 469,785.87 = 135,679.38 : x
  2. Step 2: Convert to fraction form
    313,142.82/469,785.87 = 135,679.38/x
  3. Step 3: Cross multiply
    313,142.82x = 469,785.87 × 135,679.38
  4. Step 4: Simplify right side
    313,142.82x = 63,740,255,574.36
  5. Step 5: Solve for x
    x = 63,740,255,574.36/313,142.82
  6. Step 6: Final answer
    x = 203,550.11

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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.