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Finding the Fourth Proportional to 378,812.20, 567,824.70 and 154,076.20

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Solution

The fourth proportional to 378,812.20, 567,824.70 and 154,076.20 is: 230,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,812.20 : 567,824.70 = 154,076.20 : x
  2. Step 2: Convert to fraction form
    378,812.20/567,824.70 = 154,076.20/x
  3. Step 3: Cross multiply
    378,812.20x = 567,824.70 × 154,076.20
  4. Step 4: Simplify right side
    378,812.20x = 87,488,272,042.14
  5. Step 5: Solve for x
    x = 87,488,272,042.14/378,812.20
  6. Step 6: Final answer
    x = 230,954.21

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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.