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Finding the Fourth Proportional to 222,358.87, 306,855.34 and 120,384.33

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Solution

The fourth proportional to 222,358.87, 306,855.34 and 120,384.33 is: 166,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,358.87 : 306,855.34 = 120,384.33 : x
  2. Step 2: Convert to fraction form
    222,358.87/306,855.34 = 120,384.33/x
  3. Step 3: Cross multiply
    222,358.87x = 306,855.34 × 120,384.33
  4. Step 4: Simplify right side
    222,358.87x = 36,940,572,376.62
  5. Step 5: Solve for x
    x = 36,940,572,376.62/222,358.87
  6. Step 6: Final answer
    x = 166,130.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.