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Finding the Fourth Proportional to 222,412, 332,780.94 and 155,981.80

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Solution

The fourth proportional to 222,412, 332,780.94 and 155,981.80 is: 233,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,412 : 332,780.94 = 155,981.80 : x
  2. Step 2: Convert to fraction form
    222,412/332,780.94 = 155,981.80/x
  3. Step 3: Cross multiply
    222,412x = 332,780.94 × 155,981.80
  4. Step 4: Simplify right side
    222,412x = 51,907,770,026.89
  5. Step 5: Solve for x
    x = 51,907,770,026.89/222,412
  6. Step 6: Final answer
    x = 233,385.65

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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.