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Finding the Fourth Proportional to 222,922.60, 333,930.30 and 138,423.40

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Solution

The fourth proportional to 222,922.60, 333,930.30 and 138,423.40 is: 207,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,922.60 : 333,930.30 = 138,423.40 : x
  2. Step 2: Convert to fraction form
    222,922.60/333,930.30 = 138,423.40/x
  3. Step 3: Cross multiply
    222,922.60x = 333,930.30 × 138,423.40
  4. Step 4: Simplify right side
    222,922.60x = 46,223,767,489.02
  5. Step 5: Solve for x
    x = 46,223,767,489.02/222,922.60
  6. Step 6: Final answer
    x = 207,353.44

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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.