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Finding the Fourth Proportional to 313,843.82, 470,656.64 and 133,921.96

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Solution

The fourth proportional to 313,843.82, 470,656.64 and 133,921.96 is: 200,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,843.82 : 470,656.64 = 133,921.96 : x
  2. Step 2: Convert to fraction form
    313,843.82/470,656.64 = 133,921.96/x
  3. Step 3: Cross multiply
    313,843.82x = 470,656.64 × 133,921.96
  4. Step 4: Simplify right side
    313,843.82x = 63,031,258,873.98
  5. Step 5: Solve for x
    x = 63,031,258,873.98/313,843.82
  6. Step 6: Final answer
    x = 200,836.39

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1.5x scale

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.