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Finding the Fourth Proportional to 378,436, 567,654 and 153,918.58

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Solution

The fourth proportional to 378,436, 567,654 and 153,918.58 is: 230,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,436 : 567,654 = 153,918.58 : x
  2. Step 2: Convert to fraction form
    378,436/567,654 = 153,918.58/x
  3. Step 3: Cross multiply
    378,436x = 567,654 × 153,918.58
  4. Step 4: Simplify right side
    378,436x = 87,372,497,611.32
  5. Step 5: Solve for x
    x = 87,372,497,611.32/378,436
  6. Step 6: Final answer
    x = 230,877.87

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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.