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Finding the Fourth Proportional to 222,904, 334,410.02 and 128,194.80

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Solution

The fourth proportional to 222,904, 334,410.02 and 128,194.80 is: 192,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,904 : 334,410.02 = 128,194.80 : x
  2. Step 2: Convert to fraction form
    222,904/334,410.02 = 128,194.80/x
  3. Step 3: Cross multiply
    222,904x = 334,410.02 × 128,194.80
  4. Step 4: Simplify right side
    222,904x = 42,869,625,631.90
  5. Step 5: Solve for x
    x = 42,869,625,631.90/222,904
  6. Step 6: Final answer
    x = 192,323.27

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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.