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Finding the Fourth Proportional to 222,769.20, 334,153.80 and 82,509.60

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Solution

The fourth proportional to 222,769.20, 334,153.80 and 82,509.60 is: 123,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,769.20 : 334,153.80 = 82,509.60 : x
  2. Step 2: Convert to fraction form
    222,769.20/334,153.80 = 82,509.60/x
  3. Step 3: Cross multiply
    222,769.20x = 334,153.80 × 82,509.60
  4. Step 4: Simplify right side
    222,769.20x = 27,570,896,376.48
  5. Step 5: Solve for x
    x = 27,570,896,376.48/222,769.20
  6. Step 6: Final answer
    x = 123,764.40

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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.