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Finding the Fourth Proportional to 222,358.74, 306,855.16 and 120,384.20

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Solution

The fourth proportional to 222,358.74, 306,855.16 and 120,384.20 is: 166,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,358.74 : 306,855.16 = 120,384.20 : x
  2. Step 2: Convert to fraction form
    222,358.74/306,855.16 = 120,384.20/x
  3. Step 3: Cross multiply
    222,358.74x = 306,855.16 × 120,384.20
  4. Step 4: Simplify right side
    222,358.74x = 36,940,512,952.47
  5. Step 5: Solve for x
    x = 36,940,512,952.47/222,358.74
  6. Step 6: Final answer
    x = 166,130.25

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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.