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Finding the Fourth Proportional to 419,262.75, 628,992.54 and 138,780

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Solution

The fourth proportional to 419,262.75, 628,992.54 and 138,780 is: 208,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,262.75 : 628,992.54 = 138,780 : x
  2. Step 2: Convert to fraction form
    419,262.75/628,992.54 = 138,780/x
  3. Step 3: Cross multiply
    419,262.75x = 628,992.54 × 138,780
  4. Step 4: Simplify right side
    419,262.75x = 87,291,584,701.20
  5. Step 5: Solve for x
    x = 87,291,584,701.20/419,262.75
  6. Step 6: Final answer
    x = 208,202.58

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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.