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Finding the Fourth Proportional to 378,486, 567,729.09 and 153,968.58

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Solution

The fourth proportional to 378,486, 567,729.09 and 153,968.58 is: 230,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,486 : 567,729.09 = 153,968.58 : x
  2. Step 2: Convert to fraction form
    378,486/567,729.09 = 153,968.58/x
  3. Step 3: Cross multiply
    378,486x = 567,729.09 × 153,968.58
  4. Step 4: Simplify right side
    378,486x = 87,412,441,811.99
  5. Step 5: Solve for x
    x = 87,412,441,811.99/378,486
  6. Step 6: Final answer
    x = 230,952.91

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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.