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Finding the Fourth Proportional to 419,137.17, 628,705.97 and 138,654.42

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Solution

The fourth proportional to 419,137.17, 628,705.97 and 138,654.42 is: 207,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,137.17 : 628,705.97 = 138,654.42 : x
  2. Step 2: Convert to fraction form
    419,137.17/628,705.97 = 138,654.42/x
  3. Step 3: Cross multiply
    419,137.17x = 628,705.97 × 138,654.42
  4. Step 4: Simplify right side
    419,137.17x = 87,172,860,927.62
  5. Step 5: Solve for x
    x = 87,172,860,927.62/419,137.17
  6. Step 6: Final answer
    x = 207,981.70

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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.