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Finding the Fourth Proportional to 222,419.20, 333,628.80 and 82,159.60

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Solution

The fourth proportional to 222,419.20, 333,628.80 and 82,159.60 is: 123,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,419.20 : 333,628.80 = 82,159.60 : x
  2. Step 2: Convert to fraction form
    222,419.20/333,628.80 = 82,159.60/x
  3. Step 3: Cross multiply
    222,419.20x = 333,628.80 × 82,159.60
  4. Step 4: Simplify right side
    222,419.20x = 27,410,808,756.48
  5. Step 5: Solve for x
    x = 27,410,808,756.48/222,419.20
  6. Step 6: Final answer
    x = 123,239.40

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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.